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Advances in Mathematical Systems Theory

A Volume in Honor of Diederich Hinrichsen

  • Book
  • © 2001

Overview

Editors:
  1. Fritz Colonius

    1. Institute for Mathematics, University of Augsburg, Augsburg, Germany

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  2. Uwe Helmke

    1. Mathematical Institute, University of Würzburg, Würzburg, Germany

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  3. Dieter Prätzel-Wolters

    1. Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany

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  4. Fabian Wirth

    1. Center for Technomathematics, University of Bremen, Bremen, Germany

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Part of the book series: Systems & Control: Foundations & Applications (SCFA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxx
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  2. Transitory Behavior of Uncertain Systems

    • Anthony J. Pritchard
    Pages 1-17

  3. Robust Stability of Multivariate Polynomials

    • Vladimir L. Kharitonov
    Pages 19-29

  4. Robustness of Nonlinear Systems and Their Domains of Attraction

    • Andrew D. B. Paice, Fabian R. Wirth
    Pages 31-54

  5. On Stability Radii of Slowly Time-Varying Systems

    • Achim Ilchmann, Iven M. Y. Mareels
    Pages 55-75

  6. An Invariance Radius for Nonlinear Systems

    • Fritz Colonius, Wolfgang Kliemann
    Pages 77-91

  7. State and Continuity

    • Jan C. Willems
    Pages 93-102

  8. Parameterization of Conditioned Invariant Subspaces

    • Paul A. Fuhrmann, Uwe Helmke
    Pages 103-133

  9. Duality Between Multidimensional Convolutional Codes and Systems

    • Heide Gluesing-Luerssen, Joachim Rosenthal, Paul A. Weiner
    Pages 135-150

  10. Control of Rate-Bounded Hybrid Systems with Liveness Constraints

    • Michael Heymann, George Meyer
    Pages 151-168

  11. A General Principle of Marked Extraction

    • Uli Krause
    Pages 169-183

  12. Between Mathematical Programming and Systems Theory: Linear Complementarity Systems

    • Hans Schumacher
    Pages 185-219

  13. Exact Controllability of C 0-groups with One-Dimensional Input Operators

    • Jacob Birgit, Hans Zwart
    Pages 221-242

  14. Normalized Coprime Factorizations for Strongly Stabilizable Systems

    • Ruth F. Curtain, Job C. Oostveen
    Pages 243-254

  15. Low-Gain Integral Control of Infinite-Dimensional Regular Linear Systems Subject to Input Hysteresis

    • Hartmut Logemann, Mawby D. Adam
    Pages 255-293

  16. Back Matter

    Pages 294-299
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Keywords

Reviews

"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

Editors and Affiliations

  • Institute for Mathematics, University of Augsburg, Augsburg, Germany

    Fritz Colonius

  • Mathematical Institute, University of Würzburg, Würzburg, Germany

    Uwe Helmke

  • Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany

    Dieter Prätzel-Wolters

  • Center for Technomathematics, University of Bremen, Bremen, Germany

    Fabian Wirth

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