Systems & Control: Foundations & Applications

Dynamics and Control of Trajectory Tubes

Theory and Computation

Authors: Kurzhanski, Alexander B., Varaiya, Pravin

  • Addresses significant control-theoretical problems, with emphasis on feedback control
  • Indicates the appropriate mathematical theory for these problems in terms of set-valued functions (trajectory tubes)
  • Discusses computational schemes that provide complete solutions to the problems and yield software tools that are applicable to systems of high dimension
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eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-10277-1
  • Digitally watermarked, DRM-free
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Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-10276-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-36356-1
  • Free shipping for individuals worldwide
About this book

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. Ellipsoidal Techniques for Problems of Dynamics and Control: 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.

Table of contents (11 chapters)

  • Linear Control Systems

    Kurzhanski, Alexander B. (et al.)

    Pages 1-46

  • The Dynamic Programming Approach

    Kurzhanski, Alexander B. (et al.)

    Pages 47-86

  • Ellipsoidal Techniques: Reachability and Control Synthesis

    Kurzhanski, Alexander B. (et al.)

    Pages 87-145

  • Solution Examples on Ellipsoidal Methods: Computation in High Dimensions

    Kurzhanski, Alexander B. (et al.)

    Pages 147-196

  • The Comparison Principle: Nonlinearity and Nonconvexity

    Kurzhanski, Alexander B. (et al.)

    Pages 197-251

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-10277-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-10276-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-36356-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Dynamics and Control of Trajectory Tubes
Book Subtitle
Theory and Computation
Authors
Series Title
Systems & Control: Foundations & Applications
Series Volume
85
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-10277-1
DOI
10.1007/978-3-319-10277-1
Hardcover ISBN
978-3-319-10276-4
Softcover ISBN
978-3-319-36356-1
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XVIII, 445
Number of Illustrations and Tables
32 b/w illustrations, 74 illustrations in colour
Topics