Mathematical Systems Theory I

Modelling, State Space Analysis, Stability and Robustness - 48

Diederich Hinrichsen, Anthony J. Pritchard - Collection Texts in Applied Mathematics

804 pages, parution le 29/12/2004

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Résumé

This book presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. The first volume is devoted to the state space analysis of dynamical systems with special emphasis on problems of uncertainty, whereas the second volume will be devoted to problems of control and measurement. The work combines features of a detailed introductory textbook with that of a reference source.

The first chapter of this volume is of an illustrative and motivational character. It presents a catalogue of dynamic models from six areas of application. The development of mathematical systems theory starts in Chapter 2 with an introduction to the state space description of dynamical systems. This introduction is followed by three substantial chapters on stability theory, perturbation theory and the analysis of uncertain systems.

Special features are:

a comprehensive treatment of Liapunov's stability theory
a detailed exposition of algebraic stability criteria
a presentation of classical perturbation theory for polynomials and matrices
a systematic introduction to u-analysis
a development of spectral value sets as tools for robustness analysis
an account of stability radii as robustness measures for various perturbation classes
a study of the transient behaviour of linear systems

Throughout the book there are many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions. The book should be accessible to mathematics students after two years of study and also to engineering students with a good mathematical background. In this volume the reader is gradually brought to the frontiers of research in stability and robustness analysis. It will, therefore, be of value for researchers in systems theory as well as mathematicians and engineers who wish to learn about the mathematical foundations of systems and control.

Sommaire

Preface
Mathematical Models
Introduction to State Space Theory
Stability Theory
Perturbation Theory
Uncertain Systems
Appendix
References
Glossary
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Diederich Hinrichsen, Anthony J. Pritchard
Collection	Texts in Applied Mathematics
Parution	29/12/2004
Nb. de pages	804
Format	16 x 24
Couverture	Relié
Poids	1275g
Intérieur	Noir et Blanc
EAN13	9783540441250