Principles of Linear Systems [Hardcover]

A textbook on state-space methods in the analysis of linear multi-input, multi-output dynamic systems.State-space methods form the basis of modern control theory. Following a chapter that sets out the basic concepts and definitions, this study discusses state equations of finite dimensional systems and their solution. It then presents time-domain and frequency-domain analysis and the properties and applications of the Z-transformation.State-space methods form the basis of modern control theory. Following a chapter that sets out the basic concepts and definitions, this study discusses state equations of finite dimensional systems and their solution. It then presents time-domain and frequency-domain analysis and the properties and applications of the Z-transformation.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.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 sl#