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## Autor Michel, Anthony N |

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Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics / SpringerLink (Online service) ; Won, Chang-Hee ; Schrader, Cheryl B ; Michel, Anthony N (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) ; Won, Chang-Hee ; Schrader, Cheryl B ; Michel, Anthony N 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) ; Won, Chang-Hee ; Schrader, Cheryl B ; Michel, Anthony N . - 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 : Algebra and Analysis for Engineers and Scientists Tipo de documento: documento electrónico Autores: Michel, Anthony N ; SpringerLink (Online service) ; Herget, Charles J Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2007 Número de páginas: XIV, 486 p. 48 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4707-0 Idioma : Inglés ( eng)Palabras clave: Mathematics Algebra Functional analysis Applied mathematics Engineering System theory Analysis Engineering, general Appl.Mathematics/Computational Methods of Applications Systems Theory, Control Clasificación: 51 Matemáticas Resumen: "This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference." —Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today’s graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today’s graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2–4), and analysis (Chapters 5–7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students’ backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables. Supplementary material for students and instructors is available at http://Michel.Herget.net Nota de contenido: Fundamental Concepts -- Algebraic Structures -- Vector Spaces and Linear Transformations -- Finite-Dimensional Vector Spaces and Matrices -- Metric Spaces -- Normed Spaces and Inner Product Spaces -- Linear Operators En línea: http://dx.doi.org/10.1007/978-0-8176-4707-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34571 Algebra and Analysis for Engineers and Scientists [documento electrónico] / Michel, Anthony N ; SpringerLink (Online service) ; Herget, Charles J . - Boston, MA : Birkhäuser Boston, 2007 . - XIV, 486 p. 48 illus : online resource.ISBN: 978-0-8176-4707-0

Idioma : Inglés (eng)

Palabras clave: Mathematics Algebra Functional analysis Applied mathematics Engineering System theory Analysis Engineering, general Appl.Mathematics/Computational Methods of Applications Systems Theory, Control Clasificación: 51 Matemáticas Resumen: "This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference." —Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today’s graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today’s graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2–4), and analysis (Chapters 5–7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students’ backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables. Supplementary material for students and instructors is available at http://Michel.Herget.net Nota de contenido: Fundamental Concepts -- Algebraic Structures -- Vector Spaces and Linear Transformations -- Finite-Dimensional Vector Spaces and Matrices -- Metric Spaces -- Normed Spaces and Inner Product Spaces -- Linear Operators En línea: http://dx.doi.org/10.1007/978-0-8176-4707-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34571 ## Ejemplares

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Título : Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems Tipo de documento: documento electrónico Autores: Michel, Anthony N ; SpringerLink (Online service) ; Hou, Ling ; Liu, Derong Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Systems&Control: Foundations&Applications Número de páginas: XII, 508 p. 44 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4649-3 Idioma : Inglés ( eng)Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Difference equations Functional Differential Partial differential System theory Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Ordinary Equations and Clasificación: 51 Matemáticas Resumen: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics Nota de contenido: Dynamical Systems -- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces -- Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces -- Applications to a Class of Discrete-Event Systems -- Finite-Dimensional Dynamical Systems -- Finite-Dimensional Dynamical Systems: Specialized Results -- Applications to Finite-Dimensional Dynamical Systems -- Infinite-Dimensional Dynamical Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4649-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34273 Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems [documento electrónico] / Michel, Anthony N ; SpringerLink (Online service) ; Hou, Ling ; Liu, Derong . - Boston, MA : Birkhäuser Boston, 2008 . - XII, 508 p. 44 illus : online resource. - (Systems&Control: Foundations&Applications) .ISBN: 978-0-8176-4649-3

Idioma : Inglés (eng)

Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Difference equations Functional Differential Partial differential System theory Control engineering Robotics Mechatronics Systems Theory, Control, Robotics, Ordinary Equations and Clasificación: 51 Matemáticas Resumen: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics Nota de contenido: Dynamical Systems -- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces -- Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces -- Applications to a Class of Discrete-Event Systems -- Finite-Dimensional Dynamical Systems -- Finite-Dimensional Dynamical Systems: Specialized Results -- Applications to Finite-Dimensional Dynamical Systems -- Infinite-Dimensional Dynamical Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4649-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34273 ## Ejemplares

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