This book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

“The book focuses on stability, control, filtering, and fault detection problems for some classes of S-MJS ... . The book is a good research monograph whose intended audience is graduate and postgraduate students as well as who are interested in both theoretical and practical aspects of S-MJS.” (Rosario Romera, Mathematical Reviews, June, 2017)

“This research monograph presents up-to-date research developments in the field of semi-Markov jump systems which, compared with the classical Markov-jump systems are characterized by a fixed matrix of transition probabilities and a matrix of sojourn time probability density functions. … The book is addressed to graduate and postgraduate students as well as researchers in the field of semi-Markovian jump systems.” (Doina Carp, zbMATH 1358.93002, 2017)