Principles of linear systems

by Philip E. Sarachik

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 multiple-input, multiple-output dynamics systems. Throughout, continuous-time and discrete-time systems are treated in parallel, as are time-varying and classical time-invariant systems, thereby highlighting their similarities and differences. Following a chapter, which sets out the basic concepts and definitions, state equations of finite dimensional systems and their solutions, 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. One chapter deals with the controllability and observability of linear systems and a separate chapter discusses stability. A useful tutorial review of the key results from matrix theory and linear algebra is given in the Appendix. In addition to illustrative examples, which are worked out in detail, n