Principles of Linear Systems

A textbook on state-space methods in the analysis of linear multi-input, multi-output dynamic systems.

Philip E. Sarachik (Author)

9780521576062, Cambridge University Press

Paperback, published 28 January 1997

296 pages, 106 b/w illus. 153 exercises
25.3 x 17.8 x 1.8 cm, 0.53 kg

"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

State-space methods form the basis of modern control theory. This graduate text is devoted to a description of these methods in the analysis of linear multi-input, multi-output dynamic systems. Following a chapter which sets out the basic concepts and definitions, state equations of finite dimensional systems, and their solution, are discussed in detail. The principles of time-domain and frequency-domain analysis are then presented, as are the properties and applications of the Z-transformation. Separate chapters deal with the controllability, observability, and stability of linear systems. A useful tutorial review of the key results from matrix theory and linear algebra is given in the appendix. 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.

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.

Subject Areas: Electronics & communications engineering [TJ]