Robust Control of Linear Systems and Nonlinear Control

1. Front Matter

   Pages i-xxiii

   PDF

2. Invited Papers

   1. Nonlinear H ^∞ Control Theory: A Literature Survey

      • Joseph A. Ball, J. William Helton

      Pages 1-12

   2. Primitives for Robot Control

      • D. Curtis Deno, Richard M. Murray, Kristofer S. J. Pister, Shankar Sastry

      Pages 13-31

   3. Optimal Frequency Domain Design vs. an Area of Several Complex Variables

      • J. William Helton

      Pages 33-59

   4. Feedback Stabilization of Nonlinear Systems

      • Eduardo D. Sontag

      Pages 61-81

3. Multivariable Feedback

   1. A Monotonicity Result for the Periodic Riccati Equation

      • Sergio Bittanti, Patrizio Colaneri

      Pages 83-93

   2. Results on Generalised Riccati Equations Arising in Stochastic Control

      • Carlos E. de Souza, Marcelo D. Fragoso

      Pages 95-102

   3. LQ-Problem: The Discrete-Time Time-Varying Case

      • J. C. Engwerda

      Pages 103-112

   4. The output-stabilizable subspace and linear optimal control

      • A. H. W. Geerts, M. L. J. Hautus

      Pages 113-120

   5. The Decomposition of (A,B)-Invariant Subspaces and Its Applications

      • Zheng-zhi Han, Zhong-jun Zhang, Yu-fan Zheng

      Pages 121-128

   6. The Set of Feedback Matrices that Assign the Poles of a System

      • Ting-shu Hu, Song-jiao Shi

      Pages 129-134

   7. Model matching for linear Hamiltonian systems

      • H. J. C. Huijberts

      Pages 135-142

   8. Connective Stabilization of Large-Scale Systems: A Stable Factorization Approach

      • Masao Ikeda, Hsiang-Ling Tan

      Pages 143-150

   9. Riccati Equations, Algebras, and Invariant Systems

      • Hyo Chul Myung, Arthur A. Sagle

      Pages 151-157

   10. Maximal order reduction of proper transfer function matrices

       • Thomas John Owens

       Pages 159-176

   11. The Matching Condition and Feedback Controllability of Uncertain Linear Systems

       • Ian R. Petersen

       Pages 177-187

   12. Convergence Properties of Indefinite Linear Quadratic Problems with Receding Horizon

       • H. L. Trentelman, J. M. Soethoudt

       Pages 189-196

4. Robust control

   1. Generalized Stability of Linear Singularly Perturbed Systems Including Calculation of Maximal Parameter Range

      • E. H. Abed, L. Saydy, A. L. Tits

      Pages 197-203

   2. Convex Combinations of Hurwitz Functions and Its Applications to Robustness Analysis

      • Y. K. Foo, Y. C. Soh

      Pages 205-213

   3. Designing Strictly Positive Real Transfer Function Families: A Necessary and Sufficient Condition for Low Degree and Structured Families

      • C. V. Hollot, Lin Huang, Zhong-Ling Xu

      Pages 215-227

This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat­ ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten­ tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).

• Nonlinear system
• entropy
• linear algebra
• numerical methods
• optimal control
• system
• systems theory

• Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, The Netherlands

  M. A. Kaashoek, A. C. M. Ran

• Centre for Mathematics & Computer Science, Amsterdam, The Netherlands

  J. H. Schuppen

Policies and ethics