Advances in H∞ Control Theory

Switched, Delayed, and Biological Systems

  • Eli Gershon
  • Uri Shaked

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 481)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Switched Linear Systems with Dwell Time

    1. Front Matter
      Pages 1-1
    2. Eli Gershon, Uri Shaked
      Pages 3-11
    3. Eli Gershon, Uri Shaked
      Pages 43-59
    4. Eli Gershon, Uri Shaked
      Pages 107-118
  3. Stochastic State-Multiplicative Systems

    1. Front Matter
      Pages 119-119
    2. Eli Gershon, Uri Shaked
      Pages 121-127
  4. Optimal Control of Biochemical Systems

    1. Front Matter
      Pages 223-223
    2. Eli Gershon, Uri Shaked
      Pages 225-230
    3. Eli Gershon, Uri Shaked
      Pages 231-278
  5. Back Matter
    Pages 299-310

About this book


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: σ-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.


H-infinity Control Robust Control Systems Theory Time-delay Systems Control of Biological Systems L2 Gain Delayed Systems Retarded Systems Fault-tolerant Control

Authors and affiliations

  • Eli Gershon
    • 1
  • Uri Shaked
    • 2
  1. 1.Department of Electrical and Electronics EngineeringHolon Institute of TechnologyHolonIsrael
  2. 2.School of Electrical EngineeringTel Aviv UniversityTel AvivIsrael

Bibliographic information