Advances in H¿ Control Theory

Eli Gershon received his first PhD in Electrophysiology from Tel-aviv University in 1992 and his second PhD, at the same university, in control engineering in 2003. He has been an associate professor at Holon Institute of Technology since 2014 and has served as an lecturer in Control engineering at Tel-aviv University since 2003.
Professor Gershon has published well over 70 journal and conference papers and has written two text books on control theory and two research monographs: H-infinity Control and Estimation of State-multiplicative Linear Systems and Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems (both Springer).
Professor Gershon's research interests include: stochastic control, robust control, switched and delayed system and system biology.

Uri Shaked received his PhD from the Weizmann Institute of Science in 1974. He has been a full professor at Tel Aviv University since 1987. Professor Shaked has published well over 200 papers in archival journals and has written four text books on control theory and two research monographs: H-infinity Control and Estimation of State-multiplicative Linear Systems and Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems (both Springer).
Professor Shaked has acted as advisor to 12 PhD students and is a Fellow of the IEEE (Control Systems Society) and the Institute of Mathematics and its Applications.

Advances in H  Control Theory is concerned with state-of-the-art developments in three areas:

• the extended treatment of mostly deterministic switched systems with dwell-time;
  
• the control of retarded stochastic state-multiplicative noisy systems; and
  
• a new approach to the control of biochemical systems, exemplified by the threonine synthesis and glycolytic pathways.
  

Following an introduction and extensive literature survey, each of these major topics is the subject of an individual part of the book.
The first two parts of the book contain several practical examples taken from various fields of control engineering including aircraft control, robot manipulation and process control. These examples are taken from the fields of deterministic switched systems and state-multiplicative noisy systems.

The text is rounded out with short appendices covering mathematical fundamentals: s-algebra and the input-output method for retarded systems.

Advances in H  Control Theory is written for engineers engaged in control systems research and development, for applied mathematicians interested in systems and control and for graduate students specializing in stochastic control.

Expands the reader's understanding of H-infinity control with clear, concise treatment of various advanced topics

Introduction.- Robust Stability and Stabilization of Switched Systems with Dwell Time.- Robust State-Dependent Switching of Linear Systems with Dwell Time.- Robust Control of Linear Systems via Switching. Robust Estimation of Linear Switched Systems with Dwell Time.- Stability and Controller Synthesis of Discrete Linear Switched Systems.- Robust Output-Feedback Control of Linear Switched Systems with Dwell Time.- Robust Switching-Based Fault-Tolerant Control.- Robust H-infinity Control of Stochastic Linear Switched Systems with Dwell Time.- Robust Vertex-Dependent Control and Filtering.- Robust Output-Feedback Control of Stochastic Systems.- Predictor-Based Control of Systems with State Multiplicative Noise.- Static Output-Feedback.- H-infinity Feedback-Control Theory in Biochemical Systems.- Feedback-Control Theory in Biochemical Systems: Various System Norms.- Applications.