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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
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.
Authors, Editors and Affiliations
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Dipartimento di Ingegneria dell'Informazione, Università di Siena, Italy
Paolo Nistri
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Dipartimento di Matematica Applicata “G. Sansone”, Università di Firenze, Italy
Gianna Stefani
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SISSA-ISAS, International School for Advanced Studies, 34014, Italy
Andrei A. Agrachev
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Department of Electrical Engineering, Yale University, New Haven, USA
A. Stephen Morse
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Department of Mathematics, Hill Center, Rutgers University, Piscataway, USA
Eduardo D. Sontag, Héctor J. Sussmann
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Department of Electrical Engineering, The Ohio State University, Columbus, USA
Vadim I. Utkin
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: Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Héctor J. Sussmann, Vadim I. Utkin
Editors: Paolo Nistri, Gianna Stefani
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-77653-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-77644-4Published: 28 March 2008
eBook ISBN: 978-3-540-77653-6Published: 24 June 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 360
Number of Illustrations: 78 b/w illustrations
Topics: Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Differential Geometry, Dynamical Systems and Ergodic Theory