Ebook: Stability of Finite and Infinite Dimensional Systems

The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.
Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots.
Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.

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The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.
Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots.
Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.

---

The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.
Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots.
Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.
Content:
Front Matter....Pages i-xviii
Preliminaries....Pages 1-19
Estimates for Matrix-Valued Functions....Pages 21-38
Linear Finite Dimensional Systems....Pages 39-61
Linear Finite Dimensional Systems (Continuation)....Pages 63-74
Nonlinear Finite Dimensional Systems With Autonomous Linear Parts....Pages 75-97
Nonlinear Finite Dimensional Systems with Time-Variant Linear Parts....Pages 99-113
Essentially Nonlinear Finite Dimensional Systems....Pages 115-131
Linear Autonomous Systems with Delay....Pages 133-162
Linear Time-Variant Systems with Delay....Pages 163-185
Nonlinear Systems with Delay....Pages 187-223
Linear Neutral Type Systems....Pages 225-246
Nonlinear Neutral Type Functional Differential Systems....Pages 247-259
Strongly Continuous Semigroups....Pages 261-284
Linear Time-Variant Equations in Banach Spaces....Pages 285-313
Semilinear Equations in Banach Spaces with Constant Linear Parts....Pages 315-331
Semilinear Equations in Banach Spaces with Time-Variant Linear Parts....Pages 333-341
Appendix 1....Pages 343-359
Back Matter....Pages 355-358

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The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.
Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots.
Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.
Content:
Front Matter....Pages i-xviii
Preliminaries....Pages 1-19
Estimates for Matrix-Valued Functions....Pages 21-38
Linear Finite Dimensional Systems....Pages 39-61
Linear Finite Dimensional Systems (Continuation)....Pages 63-74
Nonlinear Finite Dimensional Systems With Autonomous Linear Parts....Pages 75-97
Nonlinear Finite Dimensional Systems with Time-Variant Linear Parts....Pages 99-113
Essentially Nonlinear Finite Dimensional Systems....Pages 115-131
Linear Autonomous Systems with Delay....Pages 133-162
Linear Time-Variant Systems with Delay....Pages 163-185
Nonlinear Systems with Delay....Pages 187-223
Linear Neutral Type Systems....Pages 225-246
Nonlinear Neutral Type Functional Differential Systems....Pages 247-259
Strongly Continuous Semigroups....Pages 261-284
Linear Time-Variant Equations in Banach Spaces....Pages 285-313
Semilinear Equations in Banach Spaces with Constant Linear Parts....Pages 315-331
Semilinear Equations in Banach Spaces with Time-Variant Linear Parts....Pages 333-341
Appendix 1....Pages 343-359
Back Matter....Pages 355-358
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