Control of Singular Systems with Random Abrupt Changes

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems like stochastic stability, stochastic stabilization using state feedback control and static output control, H-infinity control, filtering, guaranteed cost control and mixed H2/H1 control and their robustness are tackled. This book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. Control of singular systems with abrupt changes can be used as a textbook for graduate students in robust control theory as well as a reference for academic researchers in control or mathematics with interest in control theory.