C.I.M.E. Foundation Subseries

Nonlinear and Optimal Control Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004

Authors: Agrachev, A.A., Morse, A.S., Sontag, E.D., Sussmann, H.J., Utkin, V.I.

Editors: Nistri, Paolo, Stefani, Gianna (Eds.)

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  • ISBN 978-3-540-77653-6
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About this book

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.

Table of contents (5 chapters)

  • Geometry of Optimal Control Problems and Hamiltonian Systems

    Agrachev, Andrei A.

    Pages 1-59

  • Lecture Notes on Logically Switched Dynamical Systems

    Morse, A. Stephen

    Pages 61-161

  • Input to State Stability: Basic Concepts and Results

    Sontag, Eduardo D.

    Pages 163-220

  • Generalized Differentials, Variational Generators, and the Maximum Principle with State Constraints

    Sussmann, H├ęctor J.

    Pages 221-287

  • Sliding Mode Control: Mathematical Tools, Design and Applications

    Utkin, Vadim I.

    Pages 289-347

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-540-77653-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA in USD
  • ISBN 978-3-540-77644-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear and Optimal Control Theory
Book Subtitle
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004
Authors
Editors
  • Paolo Nistri
  • Gianna Stefani
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1932
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-77653-6
DOI
10.1007/978-3-540-77653-6
Softcover ISBN
978-3-540-77644-4
Edition Number
1
Number of Pages
XIV, 360
Number of Illustrations and Tables
78 b/w illustrations
Topics