Methodologies for Control of Jump Time-Delay Systems

Jump Time-Delay Systems (JTDS) represent a new class of piece-wise deterministic systems, in which the underlying dynamics is governed by delay-differential equations and it possesses multiple modes of operation depending on the value of an associated Markov random process. This book is about the time-domain modeling, stability, stabilization, control design and filtering for JTDS. It gives readers a thorough understanding of the basic mathematical analysis and fundamentals of JTDS. Additionally, it offers a straightforward treatment of the different topics and provides a broad coverage of the recent methodologies. The prime concern has been on the interplay between delay factors, jumping behavior and parametric uncertainties. The cases of single and interconnected JTDS are considered and numerous examples are worked out. The relationship to previous results on time-delay systems (TDS) and Markovian jump systems (MJS) are revealed. The book is a good volume for independent study or a reference for practicing engineers, interested readers, researchers and students. Introduction....Pages 15-26 Jump Time-Delay Systems....Pages 27-41 Stochastic Stability and Stabilization....Pages 43-99 Control System Design....Pages 101-172 Simultaneous H 2 /H ∞ Control....Pages 173-248 Robust Filtering....Pages 249-297 Neutral Jumping Systems....Pages 299-367 Interconnected Systems....Pages 369-428 Appendix....Pages 429-436