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Dynamic Programming for Impulse Feedback and Fast Controls

The Linear Systems Case

  • Alexander B. Kurzhanski
  • Alexander N. Daryin

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 468)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Alexander B. Kurzhanski, Alexander N. Daryin
    Pages 1-12
  3. Ordinary Impulses

    1. Front Matter
      Pages 13-13
    2. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 15-41
    3. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 43-75
    4. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 77-102
    5. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 103-136
    6. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 137-160
  4. Impulses of Higher Order. Realizability and Fast Control

    1. Front Matter
      Pages 161-161
    2. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 163-177
    3. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 179-192
    4. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 193-209
    5. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 211-231
    6. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 233-243
    7. Alexander B. Kurzhanski, Alexander N. Daryin
      Pages 245-263
  5. Back Matter
    Pages 265-275

About this book

Introduction

Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.

This book walks the readers through:

  • the design and description of feedback solutions for impulse controls;
  • the explanation of impulses of higher order that are derivatives of delta functions;
  • the description of their physically realizable approximations - the fast controls and their approximations;
  • the treatment of uncertainty in impulse control and the applications of impulse feedback.

Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors, such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.

Keywords

Impulse Control Dynamic Programming Generalized Functions Fast Feedback Control Hybrid Systems

Authors and affiliations

  • Alexander B. Kurzhanski
    • 1
  • Alexander N. Daryin
    • 2
  1. 1.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia
  2. 2.Google ResearchZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-7437-0
  • Copyright Information Springer-Verlag London Ltd., part of Springer Nature 2020
  • Publisher Name Springer, London
  • eBook Packages Intelligent Technologies and Robotics
  • Print ISBN 978-1-4471-7436-3
  • Online ISBN 978-1-4471-7437-0
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site