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Refinar búsquedaAdvances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics / SpringerLink (Online service) ; Chang-Hee Won ; Schrader, Cheryl B ; Anthony N. Michel (2008)
Título : Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics : A Tribute to Michael K. Sain Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Chang-Hee Won ; Schrader, Cheryl B ; Anthony N. Michel Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Otro editor: Imprint: Birkhäuser Colección: Systems & Control: Foundations & Applications, ISSN 2324-9749 Número de páginas: XVIII, 366 p. 59 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4795-7 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Applied mathematics Engineering System theory Calculus of variations Probabilities Control engineering Robotics Mechatronics Variations and Optimal Control; Optimization Probability Theory Stochastic Processes Systems Theory, Control, Robotics, Applications Clasificación: 51 Matemáticas Resumen: This volume—dedicated to Michael K. Sain on the occasion of his seventieth birthday—is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts: * Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants. In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control. * Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linear multivariable systems, and zeros in linear time-delay systems. * Part III discusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixed modes, direct optimal adaptive control, and stability of nonlinear systems with limited information. * Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain's latest research interests. The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory Nota de contenido: Statistical Control -- and Literature Survey of Statistical Control: Going Beyond the Mean -- Cumulant Control Systems: The Cost-Variance, Discrete-Time Case -- Statistical Control of Stochastic Systems Incorporating Integral Feedback: Performance Robustness Analysis -- Multi-Cumulant and Pareto Solutions for Tactics Change Prediction and Performance Analysis in Stochastic Multi-Team Noncooperative Games -- A Multiobjective Cumulant Control Problem -- Algebraic Systems Theory -- Systems over a Semiring: Realization and Decoupling -- Modules of Zeros for Linear Multivariable Systems -- Zeros in Linear Time-Delay Systems -- Dynamical System Characteristics -- On the Status of the Stability Theory of Discontinuous Dynamical Systems -- Direct Adaptive Optimal Control: Biologically Inspired Feedback Control -- Characterization and Calculation of Approximate Decentralized Fixed Modes (ADFMs) -- Some New Nonlinear and Symbol Manipulation Techniques to Mitigate Adverse Effects of High PAPR in OFDM Wireless Communications -- Homogeneous Domination and the Decentralized Control Problem for Nonlinear System Stabilization -- Volterra Control Synthesis -- Engineering Education -- The First Professional Degree: Master of Engineering? -- Theology and Engineering: A Conversation in Two Languages En línea: http://dx.doi.org/10.1007/978-0-8176-4795-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34287 Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics : A Tribute to Michael K. Sain [documento electrónico] / SpringerLink (Online service) ; Chang-Hee Won ; Schrader, Cheryl B ; Anthony N. Michel . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008 . - XVIII, 366 p. 59 illus : online resource. - (Systems & Control: Foundations & Applications, ISSN 2324-9749) .
ISBN : 978-0-8176-4795-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Applied mathematics Engineering System theory Calculus of variations Probabilities Control engineering Robotics Mechatronics Variations and Optimal Control; Optimization Probability Theory Stochastic Processes Systems Theory, Control, Robotics, Applications Clasificación: 51 Matemáticas Resumen: This volume—dedicated to Michael K. Sain on the occasion of his seventieth birthday—is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts: * Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants. In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control. * Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linear multivariable systems, and zeros in linear time-delay systems. * Part III discusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixed modes, direct optimal adaptive control, and stability of nonlinear systems with limited information. * Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain's latest research interests. The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory Nota de contenido: Statistical Control -- and Literature Survey of Statistical Control: Going Beyond the Mean -- Cumulant Control Systems: The Cost-Variance, Discrete-Time Case -- Statistical Control of Stochastic Systems Incorporating Integral Feedback: Performance Robustness Analysis -- Multi-Cumulant and Pareto Solutions for Tactics Change Prediction and Performance Analysis in Stochastic Multi-Team Noncooperative Games -- A Multiobjective Cumulant Control Problem -- Algebraic Systems Theory -- Systems over a Semiring: Realization and Decoupling -- Modules of Zeros for Linear Multivariable Systems -- Zeros in Linear Time-Delay Systems -- Dynamical System Characteristics -- On the Status of the Stability Theory of Discontinuous Dynamical Systems -- Direct Adaptive Optimal Control: Biologically Inspired Feedback Control -- Characterization and Calculation of Approximate Decentralized Fixed Modes (ADFMs) -- Some New Nonlinear and Symbol Manipulation Techniques to Mitigate Adverse Effects of High PAPR in OFDM Wireless Communications -- Homogeneous Domination and the Decentralized Control Problem for Nonlinear System Stabilization -- Volterra Control Synthesis -- Engineering Education -- The First Professional Degree: Master of Engineering? -- Theology and Engineering: A Conversation in Two Languages En línea: http://dx.doi.org/10.1007/978-0-8176-4795-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34287 Ejemplares
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Título : Internal and External Stabilization of Linear Systems with Constraints Tipo de documento: documento electrónico Autores: Ali Saberi ; SpringerLink (Online service) ; Anton A. Stoorvogel ; Peddapullaiah Sannuti Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Systems & Control: Foundations & Applications, ISSN 2324-9749 Número de páginas: XVI, 837 p. 55 illus., 30 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-8176-4787-2 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering System theory Vibration Dynamical systems Dynamics design Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Design Vibration, Systems, Applications of Clasificación: 51 Matemáticas Resumen: Linear systems with constraints on inputs and states are ubiquitous. Control of such systems has been a long-time challenge to control engineers and will continue to remain so. Indeed, the challenge of constraints is intense and dauntingly formidable and familiar. This book focuses on the very fundamental and primary goal of providing internal stability as well as external stability in the presence of disturbances and reference inputs. The focus is on both the analysis and design for both continuous- and discrete-time systems. A taxonomy of constraints paves distinct paths showing what is feasible and what is not. Internal and External Stabilization of Linear Systems with Constraints is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. The book may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design Nota de contenido: Preface -- Introduction and Preliminaries -- Internal and External Stability of Nonlinear Systems -- Classical Approaches for Handling Constraints -- Taxonomy of Constraints -- Design Methodologies -- Internal Stabilization of Linear Systems with Constraints -- External L_p Stabilization of Linear Systems with Constraints -- Design Methodologies -- Internal Stabilization of Linear Systems with Constraints -- Beyond L_p Stability -- Achieving Satisfactory Performance with Guaranteed Internal and External Stability -- Additional Constraints on Controller Architecture: Decentralized Stabilization Subject to Constraints -- Conclusions -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4787-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32667 Internal and External Stabilization of Linear Systems with Constraints [documento electrónico] / Ali Saberi ; SpringerLink (Online service) ; Anton A. Stoorvogel ; Peddapullaiah Sannuti . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012 . - XVI, 837 p. 55 illus., 30 illus. in color : online resource. - (Systems & Control: Foundations & Applications, ISSN 2324-9749) .
ISBN : 978-0-8176-4787-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering System theory Vibration Dynamical systems Dynamics design Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Design Vibration, Systems, Applications of Clasificación: 51 Matemáticas Resumen: Linear systems with constraints on inputs and states are ubiquitous. Control of such systems has been a long-time challenge to control engineers and will continue to remain so. Indeed, the challenge of constraints is intense and dauntingly formidable and familiar. This book focuses on the very fundamental and primary goal of providing internal stability as well as external stability in the presence of disturbances and reference inputs. The focus is on both the analysis and design for both continuous- and discrete-time systems. A taxonomy of constraints paves distinct paths showing what is feasible and what is not. Internal and External Stabilization of Linear Systems with Constraints is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. The book may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design Nota de contenido: Preface -- Introduction and Preliminaries -- Internal and External Stability of Nonlinear Systems -- Classical Approaches for Handling Constraints -- Taxonomy of Constraints -- Design Methodologies -- Internal Stabilization of Linear Systems with Constraints -- External L_p Stabilization of Linear Systems with Constraints -- Design Methodologies -- Internal Stabilization of Linear Systems with Constraints -- Beyond L_p Stability -- Achieving Satisfactory Performance with Guaranteed Internal and External Stability -- Additional Constraints on Controller Architecture: Decentralized Stabilization Subject to Constraints -- Conclusions -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4787-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32667 Ejemplares
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Título : Max-Plus Methods for Nonlinear Control and Estimation Tipo de documento: documento electrónico Autores: William M. McEneaney ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Colección: Systems & Control: Foundations & Applications, ISSN 2324-9749 Número de páginas: XIV, 246 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4453-6 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering System theory Control engineering Robotics Mechatronics Applications of Systems Theory, Control, Robotics, Differential Equations Clasificación: 51 Matemáticas Resumen: The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. Well-known dynamic programming arguments show there is a direct relationship between the solution of a control problem and the solution of a corresponding Hamilton–Jacobi–Bellman (HJB) partial differential equation (PDE). The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated HJB PDEs; they are not equivalent to either of the more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms. The book will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods. Researchers and practitioners tangentially interested in this area will also find a readable, concise discussion of the subject through a careful selection of specific chapters and sections. Basic knowledge of control theory for systems with dynamics governed by differential equations is required Nota de contenido: Max-Plus Analysis -- Dynamic Programming and Viscosity Solutions -- Max-Plus Eigenvector Method for the Infinite Time-Horizon Problem -- Max-Plus Eigenvector Method Error Analysis -- A Semigroup Construction Method -- Curse-of-Dimensionality-Free Method -- Finite Time-Horizon Application: Nonlinear Filtering -- Mixed L?/L2 Criteria En línea: http://dx.doi.org/10.1007/0-8176-4453-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34856 Max-Plus Methods for Nonlinear Control and Estimation [documento electrónico] / William M. McEneaney ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston, 2006 . - XIV, 246 p : online resource. - (Systems & Control: Foundations & Applications, ISSN 2324-9749) .
ISBN : 978-0-8176-4453-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering System theory Control engineering Robotics Mechatronics Applications of Systems Theory, Control, Robotics, Differential Equations Clasificación: 51 Matemáticas Resumen: The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. Well-known dynamic programming arguments show there is a direct relationship between the solution of a control problem and the solution of a corresponding Hamilton–Jacobi–Bellman (HJB) partial differential equation (PDE). The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated HJB PDEs; they are not equivalent to either of the more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms. The book will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods. Researchers and practitioners tangentially interested in this area will also find a readable, concise discussion of the subject through a careful selection of specific chapters and sections. Basic knowledge of control theory for systems with dynamics governed by differential equations is required Nota de contenido: Max-Plus Analysis -- Dynamic Programming and Viscosity Solutions -- Max-Plus Eigenvector Method for the Infinite Time-Horizon Problem -- Max-Plus Eigenvector Method Error Analysis -- A Semigroup Construction Method -- Curse-of-Dimensionality-Free Method -- Finite Time-Horizon Application: Nonlinear Filtering -- Mixed L?/L2 Criteria En línea: http://dx.doi.org/10.1007/0-8176-4453-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34856 Ejemplares
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Título : Representation and Control of Infinite Dimensional Systems Tipo de documento: documento electrónico Autores: Alain Bensoussan ; SpringerLink (Online service) ; Giuseppe Da Prato ; Michel C. Delfour ; Sanjoy K. Mitter Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2007 Colección: Systems & Control: Foundations & Applications, ISSN 2324-9749 Número de páginas: XXVIII, 576 p. 5 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4581-6 Idioma : Inglés (eng) Palabras clave: Engineering Partial differential equations Applied mathematics System theory Calculus of variations Control engineering Robotics Mechatronics Systems Theory, Variations and Optimal Control; Optimization Control, Robotics, Differential Equations Applications Mathematics Clasificación: 51 Matemáticas Resumen: "This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." —Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: * Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H-infinity theory and dissipative systems, and a new chapter on linear quadratic two-person zero-sum differential games. * A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. * The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control Nota de contenido: Finite Dimensional Linear Control Dynamical Systems -- Control of Linear Differential Systems -- Linear Quadratic Two-Person Zero-Sum Differential Games -- Representation of Infinite Dimensional Linear Control Dynamical Systems -- Semigroups of Operators and Interpolation -- Variational Theory of Parabolic Systems -- Semigroup Methods for Systems With Unbounded Control and Observation Operators -- State Space Theory of Differential Systems With Delays -- Qualitative Properties of Infinite Dimensional Linear Control Dynamical Systems -- Controllability and Observability for a Class of Infinite Dimensional Systems -- Quadratic Optimal Control: Finite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary -- Quadratic Optimal Control: Infinite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary En línea: http://dx.doi.org/10.1007/978-0-8176-4581-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34560 Representation and Control of Infinite Dimensional Systems [documento electrónico] / Alain Bensoussan ; SpringerLink (Online service) ; Giuseppe Da Prato ; Michel C. Delfour ; Sanjoy K. Mitter . - Boston, MA : Birkhäuser Boston, 2007 . - XXVIII, 576 p. 5 illus : online resource. - (Systems & Control: Foundations & Applications, ISSN 2324-9749) .
ISBN : 978-0-8176-4581-6
Idioma : Inglés (eng)
Palabras clave: Engineering Partial differential equations Applied mathematics System theory Calculus of variations Control engineering Robotics Mechatronics Systems Theory, Variations and Optimal Control; Optimization Control, Robotics, Differential Equations Applications Mathematics Clasificación: 51 Matemáticas Resumen: "This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field." —Mathematical Reviews (reviews of Volumes I and II of the First Edition) The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems. This reorganized, revised, and expanded edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New material and original features of the Second Edition: * Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H-infinity theory and dissipative systems, and a new chapter on linear quadratic two-person zero-sum differential games. * A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. * The material on delay systems and structural operators is not available elsewhere in book form. Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control Nota de contenido: Finite Dimensional Linear Control Dynamical Systems -- Control of Linear Differential Systems -- Linear Quadratic Two-Person Zero-Sum Differential Games -- Representation of Infinite Dimensional Linear Control Dynamical Systems -- Semigroups of Operators and Interpolation -- Variational Theory of Parabolic Systems -- Semigroup Methods for Systems With Unbounded Control and Observation Operators -- State Space Theory of Differential Systems With Delays -- Qualitative Properties of Infinite Dimensional Linear Control Dynamical Systems -- Controllability and Observability for a Class of Infinite Dimensional Systems -- Quadratic Optimal Control: Finite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary -- Quadratic Optimal Control: Infinite Time Horizon -- Bounded Control Operators: Control Inside the Domain -- Unbounded Control Operators: Parabolic Equations With Control on the Boundary -- Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary En línea: http://dx.doi.org/10.1007/978-0-8176-4581-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34560 Ejemplares
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Título : Set-Theoretic Methods in Control Tipo de documento: documento electrónico Autores: Franco Blanchini ; SpringerLink (Online service) ; Stefano Miani Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Systems & Control: Foundations & Applications, ISSN 2324-9749 Número de páginas: XV, 487 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4606-6 Idioma : Inglés (eng) Palabras clave: Engineering System theory Calculus of variations Applied mathematics Computational intelligence Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Variations and Optimal Control; Optimization Appl.Mathematics/Computational Methods Intelligence Clasificación: 51 Matemáticas Resumen: This self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems Nota de contenido: Lyapunov and Lyapunov-like functions -- Convex sets and their representation -- Invariant sets -- Dynamic programming -- Set-theoretic analysis of dynamic systems -- Control of parameter-varying systems -- Control with time-domain constraints -- (Sub-)Optimal control -- Set-theoretic estimation -- Related topics En línea: http://dx.doi.org/10.1007/978-0-8176-4606-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34263 Set-Theoretic Methods in Control [documento electrónico] / Franco Blanchini ; SpringerLink (Online service) ; Stefano Miani . - Boston, MA : Birkhäuser Boston, 2008 . - XV, 487 p : online resource. - (Systems & Control: Foundations & Applications, ISSN 2324-9749) .
ISBN : 978-0-8176-4606-6
Idioma : Inglés (eng)
Palabras clave: Engineering System theory Calculus of variations Applied mathematics Computational intelligence Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Variations and Optimal Control; Optimization Appl.Mathematics/Computational Methods Intelligence Clasificación: 51 Matemáticas Resumen: This self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems Nota de contenido: Lyapunov and Lyapunov-like functions -- Convex sets and their representation -- Invariant sets -- Dynamic programming -- Set-theoretic analysis of dynamic systems -- Control of parameter-varying systems -- Control with time-domain constraints -- (Sub-)Optimal control -- Set-theoretic estimation -- Related topics En línea: http://dx.doi.org/10.1007/978-0-8176-4606-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34263 Ejemplares
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