Periodic systems. Filtering and control.

*(English)*Zbl 1163.93003
Communications and Control Engineering. London: Springer (ISBN 978-1-84800-910-3/hbk; 978-1-84800-911-0/ebook). xix, 424 p. (2009).

From authors preface: This book aims to provide a theoretical corpus of results relative to the analysis, modeling filtering and control of periodic systems. The primary objective is to bring together in a coordinated view the innumerable variety of contributions appeared over many decades, by focusing on the theoretical aspects. In Chap. 1 an overview is provided of the entire field including continuous-time case. Chap. 2 is devoted to the basic models and tools for the analysis. In Chap. 3 the discrete-time version of the Floquet theory is presented and the characterization of stability is provided also in terms of Lyapunov difference inequlities. Chap. 4 is devoted to stuctural properties including reachability, controllability, reconstructability, stabilizability and detectability. The following nine chapters are dealing with (SISO) periodic systems including the norms, factorization, estimation and control problems. This book is addressing to engineers and mathematicians working in the field of application of control system theory.

Reviewer: Constantin Vârsan (Bucureşti)