Información del autor
Autor André C. M. Ran |
Documentos disponibles escritos por este autor (3)
Refinar búsqueda
Título : Factorization of Matrix and Operator Functions: The State Space Method Tipo de documento: documento electrónico Autores: Harm Bart ; SpringerLink (Online service) ; André C. M. Ran ; Israel Gohberg ; Marinus A. Kaashoek Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Operator Theory: Advances and Applications, Linear Operators and Linear Systems num. 178 Número de páginas: XII, 412 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8268-1 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Operator Number Theory Linear and Multilinear Algebras, Clasificación: 51 Matemáticas Resumen: The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, theory of job scheduling in operations research. The book systematically employs a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions. This principle allows one to deal with different factorizations from one point of view. Covered are canonical factorization, minimal and non-minimal factorizations, pseudo-canonical factorization, and various types of degree one factorization. Considerable attention is given to the matter of stability of factorization which in terms of the state space method involves stability of invariant subspaces.invariant subspaces Nota de contenido: Motivating Problems, Systems and Realizations -- Motivating Problems -- Operator Nodes, Systems, and Operations on Systems -- Various Classes of Systems -- Realization and Linearization of Operator Functions -- Factorization and Riccati Equations -- Canonical Factorization and Applications -- Minimal Realization and Minimal Factorization -- Minimal Systems -- Minimal Realizations and Pole-Zero Structure -- Minimal Factorization of Rational Matrix Functions -- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling -- Factorization into Degree One Factors -- Complete Factorization of Companion Based Matrix Functions -- Quasicomplete Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Stability of Spectral Divisors -- Stability of Divisors -- Factorization of Real Matrix Functions En línea: http://dx.doi.org/10.1007/978-3-7643-8268-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34386 Factorization of Matrix and Operator Functions: The State Space Method [documento electrónico] / Harm Bart ; SpringerLink (Online service) ; André C. M. Ran ; Israel Gohberg ; Marinus A. Kaashoek . - Basel : Birkhäuser Basel, 2008 . - XII, 412 p : online resource. - (Operator Theory: Advances and Applications, Linear Operators and Linear Systems; 178) .
ISBN : 978-3-7643-8268-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Operator Number Theory Linear and Multilinear Algebras, Clasificación: 51 Matemáticas Resumen: The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, theory of job scheduling in operations research. The book systematically employs a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions. This principle allows one to deal with different factorizations from one point of view. Covered are canonical factorization, minimal and non-minimal factorizations, pseudo-canonical factorization, and various types of degree one factorization. Considerable attention is given to the matter of stability of factorization which in terms of the state space method involves stability of invariant subspaces.invariant subspaces Nota de contenido: Motivating Problems, Systems and Realizations -- Motivating Problems -- Operator Nodes, Systems, and Operations on Systems -- Various Classes of Systems -- Realization and Linearization of Operator Functions -- Factorization and Riccati Equations -- Canonical Factorization and Applications -- Minimal Realization and Minimal Factorization -- Minimal Systems -- Minimal Realizations and Pole-Zero Structure -- Minimal Factorization of Rational Matrix Functions -- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling -- Factorization into Degree One Factors -- Complete Factorization of Companion Based Matrix Functions -- Quasicomplete Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Stability of Spectral Divisors -- Stability of Divisors -- Factorization of Real Matrix Functions En línea: http://dx.doi.org/10.1007/978-3-7643-8268-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34386 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Introduction to Mathematical Systems Theory : Linear Systems, Identification and Control Tipo de documento: documento electrónico Autores: Christiaan Heij ; SpringerLink (Online service) ; André C. M. Ran ; Schagen, Freek van Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Número de páginas: IX, 166 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7549-2 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering System theory Computer Probabilities Systems Theory, Control Applications of Probability Theory and Stochastic Processes Computational Science Clasificación: 51 Matemáticas Resumen: This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation Nota de contenido: Dynamical Systems -- Input-Output Systems -- State Space Models -- Stability -- Optimal Control -- Stochastic Systems -- Filtering and Prediction -- Stochastic Control -- System Identification -- Cycles and Trends -- Further Developments En línea: http://dx.doi.org/10.1007/978-3-7643-7549-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34678 Introduction to Mathematical Systems Theory : Linear Systems, Identification and Control [documento electrónico] / Christiaan Heij ; SpringerLink (Online service) ; André C. M. Ran ; Schagen, Freek van . - Basel : Birkhäuser Basel, 2007 . - IX, 166 p : online resource.
ISBN : 978-3-7643-7549-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering System theory Computer Probabilities Systems Theory, Control Applications of Probability Theory and Stochastic Processes Computational Science Clasificación: 51 Matemáticas Resumen: This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation Nota de contenido: Dynamical Systems -- Input-Output Systems -- State Space Models -- Stability -- Optimal Control -- Stochastic Systems -- Filtering and Prediction -- Stochastic Control -- System Identification -- Cycles and Trends -- Further Developments En línea: http://dx.doi.org/10.1007/978-3-7643-7549-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34678 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : A State Space Approach to Canonical Factorization with Applications Tipo de documento: documento electrónico Autores: Harm Bart ; SpringerLink (Online service) ; Marinus A. Kaashoek ; André C. M. Ran Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications, Linear Operators and Linear Systems num. 200 Número de páginas: 432 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8753-2 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Functions of complex variables Operator Operations research Management science Theory Linear and Multilinear Algebras, Research, Science a Complex Variable Clasificación: 51 Matemáticas Resumen: The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular Nota de contenido: Convolution equations, canonical factorization and the state space method -- The role of canonical factorization in solving convolution equations -- The state space method and factorization -- Convolution equations with rational matrix symbols -- Explicit solutions using realizations -- Factorization of non-proper rational matrix functions -- Equations with non-rational symbols -- Factorization of matrix functions analytic in a strip -- Convolution equations and the transport equation -- Wiener-Hopf factorization and factorization indices -- Factorization of selfadjoint rational matrix functions -- Preliminaries concerning minimal factorization -- Factorization of positive definite rational matrix functions -- Pseudo-spectral factorizations of selfadjoint rational matrix functions -- Review of the theory of matrices in indefinite inner product spaces -- Riccati equations and factorization -- Canonical factorization and Riccati equations -- The symmetric algebraic Riccati equation -- J-spectral factorization -- Factorizations and symmetries -- Factorization of positive real rational matrix functions -- Contractive rational matrix functions -- J-unitary rational matrix functions -- Applications of J-spectral factorizations -- Application to the rational Nehari problem -- Review of some control theory for linear systems -- H-infinity control applications En línea: http://dx.doi.org/10.1007/978-3-7643-8753-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33777 A State Space Approach to Canonical Factorization with Applications [documento electrónico] / Harm Bart ; SpringerLink (Online service) ; Marinus A. Kaashoek ; André C. M. Ran . - Basel : Birkhäuser Basel, 2010 . - 432 p : online resource. - (Operator Theory: Advances and Applications, Linear Operators and Linear Systems; 200) .
ISBN : 978-3-7643-8753-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Functions of complex variables Operator Operations research Management science Theory Linear and Multilinear Algebras, Research, Science a Complex Variable Clasificación: 51 Matemáticas Resumen: The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem of canonical factorization also appears in other branches of applied analysis and in mathematical systems theory, in H -control theory in particular Nota de contenido: Convolution equations, canonical factorization and the state space method -- The role of canonical factorization in solving convolution equations -- The state space method and factorization -- Convolution equations with rational matrix symbols -- Explicit solutions using realizations -- Factorization of non-proper rational matrix functions -- Equations with non-rational symbols -- Factorization of matrix functions analytic in a strip -- Convolution equations and the transport equation -- Wiener-Hopf factorization and factorization indices -- Factorization of selfadjoint rational matrix functions -- Preliminaries concerning minimal factorization -- Factorization of positive definite rational matrix functions -- Pseudo-spectral factorizations of selfadjoint rational matrix functions -- Review of the theory of matrices in indefinite inner product spaces -- Riccati equations and factorization -- Canonical factorization and Riccati equations -- The symmetric algebraic Riccati equation -- J-spectral factorization -- Factorizations and symmetries -- Factorization of positive real rational matrix functions -- Contractive rational matrix functions -- J-unitary rational matrix functions -- Applications of J-spectral factorizations -- Application to the rational Nehari problem -- Review of some control theory for linear systems -- H-infinity control applications En línea: http://dx.doi.org/10.1007/978-3-7643-8753-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33777 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
