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**Controlled and conditioned invariants in linear system theory. With disc.**
*(English)*
Zbl 0758.93002

Englewood Cliffs, NJ: Prentice-Hall International, Inc.. xiii, 464 p. (1992).

The book deals with linear time-invariant dynamic systems; it describes the use of geometric-type techniques both from the analysis and synthesis view point. In the first two chapters the basic definitions and the typical problems of general dynamic systems are presented. The relative mathematical background is provided in an Appendix. This part of the book seems well suited for an introductory-level course in system theory. The remainder of the book addresses a graduate-level course.

In chapter 3 and 4, the properties of linear time-invariant dynamic systems are investigated. Controllability, observability, canonical forms, elementary synthesis problems, system invertibility are some of topics presented. Controlled and conditioned invariant are widely used.

In chapter 5 the disturbance localization by dynamic compensator and the regulator problem are discussed. Complete constructive solutions of these problems are presented. The last chapter deals with the problem of robust compensator.

All the chapters include bibliographic references. Computational bases and software to support problems and exercises are provided.

In chapter 3 and 4, the properties of linear time-invariant dynamic systems are investigated. Controllability, observability, canonical forms, elementary synthesis problems, system invertibility are some of topics presented. Controlled and conditioned invariant are widely used.

In chapter 5 the disturbance localization by dynamic compensator and the regulator problem are discussed. Complete constructive solutions of these problems are presented. The last chapter deals with the problem of robust compensator.

All the chapters include bibliographic references. Computational bases and software to support problems and exercises are provided.

Reviewer: R.M.Bianchini (Firenze)

### MSC:

93-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory |

93C05 | Linear systems in control theory |

93B27 | Geometric methods |