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Impulsive Control in Continuous and Discrete-Continuous Systems

  • Book
  • © 2003

Overview

Authors:
  1. Boris M. Miller

    1. Institute for Information Transmission Problems, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

  2. Evgeny Ya. Rubinovich

    1. Institute of Control Sciences, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 1-38

  3. Discrete-continuous systems with impulse control

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 39-101

  4. Optimal impulse control problem with restricted number of impulses

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 103-136

  5. Representation of generalized solutions via differential equations with measures

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 137-192

  6. Optimal control problems within the class of generalized solutions

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 193-235

  7. Optimality conditions in control problems within the class of generalized solutions

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 237-324

  8. Observation control problems in discrete-continuous stochastic systems

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 325-375

  9. Appendix. Differential equations with measures

    • Boris M. Miller, Evgeny Ya. Rubinovich
    Pages 377-423

  10. Back Matter

    Pages 425-447
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Keywords

About this book

Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.

Authors and Affiliations

  • Institute for Information Transmission Problems, Moscow, Russia

    Boris M. Miller

  • Institute of Control Sciences, Moscow, Russia

    Evgeny Ya. Rubinovich

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