Dynamics and Control of Trajectory Tubes

Theory and Computation

  • Alexander B. Kurzhanski
  • Pravin Varaiya

Part of the Systems & Control: Foundations & Applications book series (SCFA, volume 85)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 1-46
  3. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 47-86
  4. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 87-145
  5. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 147-196
  6. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 197-251
  7. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 253-273
  8. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 275-309
  9. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 311-339
  10. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 341-370
  11. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 371-394
  12. Alexander B. Kurzhanski, Pravin Varaiya
    Pages 395-429
  13. Back Matter
    Pages 431-445

About this book

Introduction

This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control  synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems.

The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems.

Dynamics and Control of Trajectory Tubes: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.

Keywords

ellipsoidal calculus feedback control reachability state estimation trajectory tubes uncertain inputs

Authors and affiliations

  • Alexander B. Kurzhanski
    • 1
  • Pravin Varaiya
    • 2
  1. 1.Faculty of Computational MathsMoscow State (Lomonosov) UniversityMoscowRussia
  2. 2.Electrical EngineeringUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-10277-1
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-10276-4
  • Online ISBN 978-3-319-10277-1
  • Series Print ISSN 2324-9749
  • Series Online ISSN 2324-9757
  • About this book
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