Nonlinear and optimal control theory : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 / / Andrei A. Agrachev ... [et al.] ; editors, Paolo Nistri, Gianna Stefani
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| Titolo: |
Nonlinear and optimal control theory : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 / / Andrei A. Agrachev ... [et al.] ; editors, Paolo Nistri, Gianna Stefani
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| Pubblicazione: | Berlin, : Springer, c2008 |
| Edizione: | 1st ed. 2008. |
| Descrizione fisica: | 1 online resource (XIV, 360 p. 78 illus.) |
| Disciplina: | 629.8/36 |
| Soggetto topico: | Nonlinear control theory |
| Mathematical optimization | |
| Altri autori: |
AgrachevAndrei A
NistriPaolo
StefaniGianna
|
| Note generali: | "Fondazione CIME." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Nonlinear and optimal control theory |
| ISBN: | 3-540-77653-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910484209503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 1932.