Principles of Linear Systems

by Philip E. Sarachik

Overview

State-space methods form the basis of modern control theory. This textbook is devoted to a description of these methods in the analysis of linear multi-input, multi-output dynamic systems. Following a chapter that sets out the basic concepts and definitions, the author discusses state equations of finite dimensional systems and their solution. He then presents the principles of time-domain and frequency-domain analysis, and the properties and applications of the Z-transformation. Separate chapters deal with the controllability, observability, and stability of linear systems. The appendix offers a useful tutorial review of the key results from matrix theory and linear algebra. The book includes several worked examples, and there are problems at the end of each chapter. It will be of great use to advanced undergraduate and graduate students of electrical or mechanical engineering taking courses in linear systems or control systems.

Product Details

ISBN-13:	9780521570572
Publisher:	Cambridge University Press
Publication date:	01/28/1997
Pages:	294
Product dimensions:	7.24(w) x 10.31(h) x 1.02(d)

Table of Contents

1. Basic concepts, terms and definitions; 2. State equations of finite dimensional linear systems; 3. Principles of time domain analysis; 4. Solution of the dynamic state equations; 5. Frequency domain analysis for fixed analog systems; 6. The Z-transformation of discrete-time signals; 7. Frequency domain analysis of discrete systems and applications of Z-transforms; 8. Controllability and observability of linear systems; 9. Stability of linear systems; Appendix: review of matrix theory.

Editorial Reviews

"This textbook is invaluable for graduate students of aeronautical, electrical, and mechanical engineering, or anyone who wants a background in the fundamentals of linear systems and modern control systems." Electronics Now

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