Advances in Mathematical Systems Theory
A Volume in Honor of Diederich Hinrichsen
(Sprache: Englisch)
This volume contains the lectures presented at the workshop on "Advances in Mathematical Systems Theory," held on the island of Borkum, Germany (April 20-23, 1999). The book will be of interest to graduate students and researchers interested in control...
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This volume contains the lectures presented at the workshop on "Advances in Mathematical Systems Theory," held on the island of Borkum, Germany (April 20-23, 1999). The book will be of interest to graduate students and researchers interested in control theory and mathematical systems theory, who will find in-depth analysis and presentations from diverse perspectives interacting in this lively area. The editors are proud to dedicate this volume to Diederich Hinrichsen on the occasion of his 60th birthday in acknowl edgment of his major contributions to linear systems theory and control theory and his long-term achievements in establishing mathematical sys tems theory in Germany. We all owe much to him as a teacher, colleague, and friend. The editors thank the Graduiertenkolleg "Komplexe Dynamische Sys teme" at the University of Bremen as well as the European "Nonlinear Control Network" for providing financial support that enabled this work shop. Augsburg, Germany Fritz Colonius Wiirzburg, Germany Uwe Helmke Kaiserslautern, Germany Dieter Pratzel-Wolters Bremen, Germany Fabian Wirth Introduction The workshop "Advances in Mathematical Systems Theory" took place in honor of Diederich Hinrichsen on the occasion of his 60th birthday. The following chapters are based on invited lectures and cover a wide range of topics in linear and nonlinear systems theory including parameteriza tion problems, behaviors of linear systems and convolutional codes, as well as complementarity systems and hybrid systems.
Inhaltsverzeichnis zu „Advances in Mathematical Systems Theory “
PrefaceIntroduction
1. Transitory Behavior of Uncertain Systems
2. Robust Stability of Multivariate Polynomials
3. Robustness of - Nonlinear Systems and Their Domains of Attraction
4. On Stability - Radii of Slowly Time-Varying Systems
5. An Invariance Radius for - Nonlinear Systems
6. State and Continuity
7. On the Parametrization - of Conditioned Invariant Subspaces
8. Duality Between - Multidimensional Convolutional Codes and Systems
9. Control of Rate - Bounded Hybrid Systems with Liveness Constraints
10. A General - Principle of Marked Extraction
11. Between Mathematical Programming - and System Theory: Linear Complementarity Systems
12. Exact - Controllability of C(subscript-0)-groups with One-Dimensional Input - Operators
13. Normalized Co-prime Factorizations for Strongly - Stabilizable Systems
14. Low-Gain Integral Control of Infinite- - Dimensional Regular Linear Systems Subject to Input Hysteresis
Index
Bibliographische Angaben
- 2001, 2001, XXX, 299 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Fritz Colonius, Uwe Helmke, Dieter Prätzel-Wolters, Fabian Wirth
- Verlag: Birkhäuser
- ISBN-10: 0817641629
- ISBN-13: 9780817641627
- Erscheinungsdatum: 26.06.2009
Sprache:
Englisch
Rezension zu „Advances in Mathematical Systems Theory “
"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
Pressezitat
"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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