Stability of Time-Delay Systems
(Sprache: Englisch)
For both their theoretical and practical impact, time-delay systems
have been an enduring theme in the study of differential equations,
stochastic processes, game theory, and systems theory. The subject has
broad applications to a number of areas,...
have been an enduring theme in the study of differential equations,
stochastic processes, game theory, and systems theory. The subject has
broad applications to a number of areas,...
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Klappentext zu „Stability of Time-Delay Systems “
For both their theoretical and practical impact, time-delay systems have been an enduring theme in the study of differential equations,
stochastic processes, game theory, and systems theory. The subject has
broad applications to a number of areas, including mechanical,
electrical and chemical engineering, mathematics, biology, and
economics.
This book is a self-contained, coherent presentation of the
background and progress of the stability of time-delay systems.
Focusing on techniques, tools, and advances in numerical methods and
optimization algorithms, the authors develop material, which up until
now, has been scattered in technical journals and conference
proceedings. Special emphasis is placed on systems with uncertainty
and stability criteria which can be computationally implemented.
Features and Topics: Systematic and comprehensive coverage of
robust stability for time-delay systems, including time-domain and
frequency-domain approaches Stability criteria formulated using
linear matrix inequalities (LMI), providing a powerful toolbox for
practicing engineers Strong stability conditions developed to
provide a solid basis for design of feedback control and filtering
Balance of intuition and rigor, stressing concepts rather than
technical details Emphasis on comparisons and connections among
various approaches Mathematical prerequisites integrated within each
chapter, with more elementary material covered in two appendices
Requiring only basic knowledge of linear systems and Lyapunov
stability theory, 'Stability of Time-Delay Systems' will be accessible
to a broad audience of researchers, professional engineers, and
graduate students. It may be used for self-study or as a reference;
portions of the text may be used in advanced graduate courses and
seminars.
For both their theoretical and practical impact, time-delay systems have been an enduring theme in the study of differential equations, stochastic processes, game theory, and systems theory. The subject has broad applications to a number of areas, including mechanical, electrical and chemical engineering, mathematics, biology, and economics.
This book is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems.
Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors develop material, which up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented.
Features and Topics:
- Systematic and comprehensive coverage of robust stability for time-delay systems, including time-domain and frequency-domain approaches
- Stability criteria formulated using linear matrix inequalities (LMI), providing a powerful toolbox for practicing engineers
- Strong stability conditions developed to provide a solid basis for design of feedback control and filtering * Balance of intuition and rigor, stressing concepts rather than technical details
- Emphasis on comparisons and connections among various approaches
- Mathematical prerequisites integrated within each chapter, with more elementary material covered in two appendices
Requiring only basic knowledge of linear systems and Lyapunov stability theory, 'Stability of Time-Delay Systems' will be accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.
This book is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems.
Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors develop material, which up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented.
Features and Topics:
- Systematic and comprehensive coverage of robust stability for time-delay systems, including time-domain and frequency-domain approaches
- Stability criteria formulated using linear matrix inequalities (LMI), providing a powerful toolbox for practicing engineers
- Strong stability conditions developed to provide a solid basis for design of feedback control and filtering * Balance of intuition and rigor, stressing concepts rather than technical details
- Emphasis on comparisons and connections among various approaches
- Mathematical prerequisites integrated within each chapter, with more elementary material covered in two appendices
Requiring only basic knowledge of linear systems and Lyapunov stability theory, 'Stability of Time-Delay Systems' will be accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.
Inhaltsverzeichnis zu „Stability of Time-Delay Systems “
Preface * Notation * Introduction to Time-Delay Systems * Part I.Frequency Domain Approach * Systems with Commensurate Delays * Systems
with Incommensurate Delays * Robust Stability Analysis * Part II. Time
Domain Approach * Systems with Single Delay * Robust Stability
Analysis * Systems with Multiple and Distributed Delays * Part III.
Input-Output Approach * Input-Output Stability * Appendix A: Matrix
Facts * Appendix B: Linear Matrix Inequalities and Quadratic Integral
Inequalities * Bibliography * Index
Bibliographische Angaben
- Autoren: Jie Chen , Keqin Gu , Vladimir L. Kharitonov
- 2003, 380 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Birkhäuser Basel
- ISBN-10: 0817642129
- ISBN-13: 9780817642129
- Erscheinungsdatum: 26.06.2003
Sprache:
Englisch
Rezension zu „Stability of Time-Delay Systems “
"The last 10-15 years have witnessed a renewed interest in time-delay control systems because of new problems, new models, and new techniques. This book has many useful features that complement the prior literature.... The reader can find useful information about software implementation and computational complexity.... The authors are experts in the field, and they relate their own experience. The book can be useful to engineers, applied mathematicians, and graduate students."
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