Nonlinear and Optimal Control Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004 / by Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Héctor J. Sussmann, Vadim I. Utkin ; edited by Paolo Nistri, Gianna Stefani
(Lecture Notes in Mathematics ; 1932)
| データ種別 | 電子ブック |
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| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg , 2008 |
| 本文言語 | 英語 |
| 大きさ | XIV, 360 p. 78 illus : online resource |
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| 内容注記 | Geometry of Optimal Control Problems and Hamiltonian Systems Lecture Notes on Logically Switched Dynamical Systems Input to State Stability: Basic Concepts and Results Generalized Differentials, Variational Generators, and the Maximum Principle with State Constraints Sliding Mode Control: Mathematical Tools, Design and Applications |
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| 一般注記 | 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 |
| 著者標目 | *Agrachev, Andrei A. author Morse, A. Stephen author Sontag, Eduardo D. author Sussmann, Héctor J. author Utkin, Vadim I. author Nistri, Paolo editor Stefani, Gianna editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Dynamics LCSH:Ergodic theory LCSH:System theory LCSH:Differential geometry LCSH:Calculus of variations FREE:Mathematics FREE:Systems Theory, Control FREE:Calculus of Variations and Optimal Control; Optimization FREE:Differential Geometry FREE:Dynamical Systems and Ergodic Theory |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9783540776536 
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| ISBN | 9783540776536 |
| URL | http://dx.doi.org/10.1007/978-3-540-77653-6 |
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