Methodologies for Control of Jump Time-Delay Systems

1. Front Matter

   Pages i-14

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2. Introduction

   Pages 15-26

3. Jump Time-Delay Systems

   Pages 27-41

4. Stochastic Stability and Stabilization

   Pages 43-99

5. Control System Design

   Pages 101-172

6. Simultaneous H2/H∞ Control

   Pages 173-248

7. Robust Filtering

   Pages 249-297

8. Neutral Jumping Systems

   Pages 299-367

9. Interconnected Systems

   Pages 369-428

10. Appendix

    Pages 429-436

11. Back Matter

    Pages 437-464

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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.

• Mathematica
• interconnect
• modeling
• system
• time-delay systems

• Faculty of Engineering, Arab Academy for Sciences & Technology, Egypt

  Magdi S. Mahmoud

• Weapons Systems Division, Defense and Technology Organization, Australia

  Peng Shi

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