Principles of Linear Systems

Philip E. Sarachik

doi:10.1017/CBO9781139174756

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.

"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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Principles of Linear Systems

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

1 - Basic concepts, terms, and definitions
pp 1-14

2 - State equations of finite dimensional linear systems
pp 15-42

3 - Principles of time-domain analysis
pp 43-59

4 - Solution of the dynamic state equations
pp 60-97

5 - Frequency-domain analysis for fixed analog systems: application of the Laplace transform
pp 98-110

6 - The Ƶ-transformation of discrete-time signals
pp 111-124

7 - Frequency-domain analysis of discrete systems and application of Ƶ-transforms
pp 125-150

8 - Controllability and observability of linear systems
pp 151-183

9 - Stability of linear systems
pp 184-220

Appendix - Review of matrix theory
pp 221-275

References
pp 276-278

Index
pp 279-283

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