Ebook: Advances in Mathematical Systems Theory: A Volume in Honor of Diederich Hinrichsen

"This volume contains lectures presented at the workshop ‘Advances in Mathematical Systems Theory’…. Many of the contributors are leading international researchers in the field. The main topics are recent advances in nonlinear systems theory, including parameterization problems and behaviour of the linear system, convolution codes, complementary and hybrid systems. Controllability and stabilizability of infinite-dimensional systems are treated as well." —Applications of Mathematics

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This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are

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This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are
Content:
Front Matter....Pages i-xxx
Transitory Behavior of Uncertain Systems....Pages 1-17
Robust Stability of Multivariate Polynomials....Pages 19-29
Robustness of Nonlinear Systems and Their Domains of Attraction....Pages 31-54
On Stability Radii of Slowly Time-Varying Systems....Pages 55-75
An Invariance Radius for Nonlinear Systems....Pages 77-91
State and Continuity....Pages 93-102
Parameterization of Conditioned Invariant Subspaces....Pages 103-133
Duality Between Multidimensional Convolutional Codes and Systems....Pages 135-150
Control of Rate-Bounded Hybrid Systems with Liveness Constraints....Pages 151-168
A General Principle of Marked Extraction....Pages 169-183
Between Mathematical Programming and Systems Theory: Linear Complementarity Systems....Pages 185-219
Exact Controllability of C 0-groups with One-Dimensional Input Operators....Pages 221-242
Normalized Coprime Factorizations for Strongly Stabilizable Systems....Pages 243-254
Low-Gain Integral Control of Infinite-Dimensional Regular Linear Systems Subject to Input Hysteresis....Pages 255-293
Back Matter....Pages 294-299

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This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are
Content:
Front Matter....Pages i-xxx
Transitory Behavior of Uncertain Systems....Pages 1-17
Robust Stability of Multivariate Polynomials....Pages 19-29
Robustness of Nonlinear Systems and Their Domains of Attraction....Pages 31-54
On Stability Radii of Slowly Time-Varying Systems....Pages 55-75
An Invariance Radius for Nonlinear Systems....Pages 77-91
State and Continuity....Pages 93-102
Parameterization of Conditioned Invariant Subspaces....Pages 103-133
Duality Between Multidimensional Convolutional Codes and Systems....Pages 135-150
Control of Rate-Bounded Hybrid Systems with Liveness Constraints....Pages 151-168
A General Principle of Marked Extraction....Pages 169-183
Between Mathematical Programming and Systems Theory: Linear Complementarity Systems....Pages 185-219
Exact Controllability of C 0-groups with One-Dimensional Input Operators....Pages 221-242
Normalized Coprime Factorizations for Strongly Stabilizable Systems....Pages 243-254
Low-Gain Integral Control of Infinite-Dimensional Regular Linear Systems Subject to Input Hysteresis....Pages 255-293
Back Matter....Pages 294-299
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