Wonham W.M. Linear Multivariable Control. A Geometric Approach

3rd Edition. — Springer, 1985. — 356 s. — ISBN10: 1461270057, ISBN13: 978-1461270058In writing this monograph author's aim was to present a "geometric" approach to the structural synthesis of multivariable control systems that are linear, time-invariant and of finite dynamic order. The book is addressed to graduate students, to engineering scientists involved in control systems research and development, and to mathematicians interested in systems control theory.The book is organized as follows. Chapter 0 is a quick review of linear algebra and selected rudiments of linear systems. Chapter 1-3 cover mainly standard material of controllability and observability, although sometimes in a more "geometric" style. In Chapters 4 and 5 are introduced essentially new concepts: (A,B)-invariant subspaces and (A,B) controllability subspaces. The major application - to tracking and regulation - is developed in chapters 6-8 . In chapters 9-11 we consider noninteracting control. Chapters 12 and 13 deal with quadratic optimization.