Mathematical Systems Theory I Modelling, State Space Analysis, Stabi
This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems with emphasis on problems of uncertainty, whe
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Editors J.E. Marsden L. Sirovich S.S. Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton
Texts in Applied Mathematics 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30.
Sirovich: Introduction to Applied Mathematics. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Hale/Koçak: Dynamics and Bifurcations. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd ed. Perko: Differential Equations and Dynamical Systems, 3rd ed. Seaborn: Hypergeometric Functions and Their Applications. Pipkin: A Course on Integral Equations. Hoppensteadt/Peskin: Modeling and Simulation in Medicine and the Life Sciences, 2nd ed. Braun: Differential Equations and Their Applications, 4th ed. Stoer/Bulirsch: Introduction to Numerical Analysis, 3rd ed. Renardy/Rogers: An Introduction to Partial Differential Equations. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. Brenner/Scott: The Mathematical Theory of Finite Element Methods, 2nd ed. Van de Velde: Concurrent Scientific Computing. Marsden/Ratiu: Introduction to Mechanics and Symmetry, 2nd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems. Kaplan/Glass: Understanding Nonlinear Dynamics. Holmes: Introduction to Perturbation Methods. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory. Thomas: Numerical Partial Differential Equations: Finitc Difference Methods. Taylor: Partial Differential Equations: Basic Theory. Merkin: Introduction to the Theory of Stability of Motion. Naber: Topology, Geometry, and Gauge Fields: Foundations. Polderman/Willems: Introduction to Mathematical Systems Theory: A Behavioral Approach. Reddy: Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements. Gustafson/Wilcox: Analytical and Computational Methods of Advanced Engineering Mathematics. Tveito/Winther: Introduction to Partial Differential Equations: A Computational Approach. Gasquet/Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets.
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Diederich Hinrichsen Anthony J. Pritchard
Mathematical Systems Theory I Modelling, State Space Analysis, Stability and Robustness
With 178 Figures
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Diederich Hinrichsen Fachbereich Mathematik und Informatik Universität Bremen Bibliotheksstr. 1 28359 Bremen, Germany [email protected] Series Editors J.E. Marsden Control and Dynamical Systems, 107-81 California Institute of Technology Pasadena, CA 91125 USA [email protected] L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]
Anthony J. Pritchard Institute of Mathematics University of Warwick CV4 7AL Coventry United Kingdom [email protected]
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