Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004

Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004
ISBN-10
3540776532
ISBN-13
9783540776536
Category
Science
Pages
360
Language
English
Published
2008-06-24
Publisher
Springer
Authors
Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag

Description

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.

Get the book

Amazon.com
Amazon.com
Search the book
eBay.com
eBay.com
Search the book

Other editions

Similar books

  • Nonlinear and Optimal Control Systems
    Nonlinear and Optimal Control Systems
    By Thomas L. Vincent, Walter J. Grantham

    An integrated approach to the fundamentals of nonlinear and optimal control systems. This self-contained text provides a solid introduction to the analysis techniques used in the design of nonlinear and optimal feedback control systems.

  • Nonlinear Optimal Control Theory
    Nonlinear Optimal Control Theory
    By Leonard David Berkovitz, Negash G. Medhin

    ... Victor A. Galaktionov and Sergey R. Svirshchevskii Fourier Series in Several Variables with Applications to Partial Differential Equations, Victor L. Shapiro Geometric Sturmian Theory ofNonlinear Parabolic Equations and Applications ...

  • Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror
    Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror
    By Jonathan P. Caulkins, Dieter Grass, Gustav Feichtinger

    Kalish, S. 180, 519 Kamien, M. I. 136, 183, 437, 519 Kandel, D. B. 51, 519 Kaplan, E. H. 326, 519 Karatzas, I. 425, ... 515 Kierzenka, J. 334, 520 Kim, J. H.R. 382, 383, 522 Kiseleva, T. 264, 269, 520 Kistner, K. P. 274, 514 Kleiman, ...

  • Optimal Control Theory: An Introduction
    Optimal Control Theory: An Introduction
    By Donald E. Kirk

    Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization.

  • Nonlinear Controllability and Optimal Control
    Nonlinear Controllability and Optimal Control
    By Sussmann

    Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display ...

  • Nonlinear Model Predictive Control: Theory and Algorithms
    Nonlinear Model Predictive Control: Theory and Algorithms
    By Lars Grüne, Jürgen Pannek

    Nonlinear Model Predictive Control is primarily aimed at academic researchers and practitioners working in control and optimisation but the text is self-contained featuring background material on infinite-horizon optimal control and ...

  • Optimal Control
    Optimal Control
    By Ravi P. Agarwal, Leonid T. Aschepkov, Dmitriy V. Dolgy

    This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level.

  • Optimal Control and Estimation
    Optimal Control and Estimation
    By Robert F. Stengel

    Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.

  • Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
    Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
    By John T. Betts

    This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control.

  • A Theory Of Optimization And Optimal Control For Nonlinear Evolution And Singular Equations
    A Theory Of Optimization And Optimal Control For Nonlinear Evolution And Singular Equations
    By Altman Mieczyslaw

    This research monograph offers a general theory which encompasses almost all known general theories in such a way that many practical applications can be obtained.