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Impulsive Control Theory

  • Conference proceedings
  • © 2001

Overview

Authors:
  1. Tao Yang

    1. Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, USA

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  • This book is the first one that systematically discusses the theory of impulsive control
  • This book serves as a bridge between the pure mathematical theory and control engineering strategies
  • There is no direct competition to the book
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 272)

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Table of contents (11 papers)

  1. Front Matter

    Pages I-XIX
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  2. Preliminaries

    Pages 1-15

  3. Linear Impulsive Control

    Pages 17-33

  4. Comparison Methods

    Pages 35-70

  5. Impulsive Control with Fixed-time Impulses

    Pages 71-118

  6. Impulsive Control with Impulses at Variable Time

    Pages 119-147

  7. Practical Stability of Impulsive Control

    Pages 149-197

  8. Other Impulsive Control Strategies

    Pages 199-217

  9. Impulsive Computational Verb Control

    Pages 219-235

  10. Impulsive Control of Periodic Motions

    Pages 237-287

  11. Impulsive Control of Almost Periodic Motions

    Pages 289-306

  12. Applications to Nanoelectronics

    Pages 307-333

  13. Back Matter

    Pages 335-348
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Keywords

About this book

The concept of impulsive control and its mathematical foundation called - pulsive di?erential equations,or di?erential equations with impulse e?ects,or di?erential equations with discontinuous righthand sides have a long history. In fact, in mechanical systems impulsive phenomena had been studied for a long time under di?erent names such as: mechanical systems with impacts. The study of impulsive control systems (control systems with impulse e?ects) has also a long history that can be traced back to the beginning of modern control theory. Many impulsive control methods were successfully developed under the framework of optimal control and were occasionally called impulse control. The so called impulse control is not exactly the impulsive control as will be de?ned in this book. The reader should not mixup these two kinds of control methods though in many papers they were treated as the same. - cently, there is a tendency of integrating impulsive control into hybrid control systems. However, this e?ort does not have much help to the development of impulsive control theory because impulsive systems can only be studied by the very mathematical tool based on impulsive di?erential equations. The e?ort to invent a very general framework of hybrid control system for stu- ing impulsive control and other hybrid control problems will contribute no essential knowledge to impulsive control.

Authors and Affiliations

  • Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, USA

    Tao Yang

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