Nonlinear and optimal control theory : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 /
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| Imprint: | Berlin : Springer, ©2008. |
|---|---|
| Description: | 1 online resource (xiii, 351 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1932 Lecture notes in mathematics (Springer-Verlag) ; 1932. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11069448 |
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| 245 | 0 | 0 | |a Nonlinear and optimal control theory : |b lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 / |c Andrei A. Agrachev [and others] ; editors, Paolo Nistri, Gianna Stefani. |
| 260 | |a Berlin : |b Springer, |c ©2008. | ||
| 300 | |a 1 online resource (xiii, 351 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1932 | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Geometry of optimal control problems and Hamiltonian systems / A.A. Agrachev -- Lecture notes on logically switched dynamical systems / A.S. Morse -- Input to state stability : basic concepts and results / E.D. Sontag -- Generalized differentials, variational generators, and the maximum principle with state constraints / H.J. Sussmann -- Sliding mode control : mathematical tools, design and applications / V.I Utkin. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Nonlinear control theory |v Congresses. |0 http://id.loc.gov/authorities/subjects/sh2010103838 | |
| 650 | 0 | |a Mathematical optimization |v Congresses. |0 http://id.loc.gov/authorities/subjects/sh2008107548 | |
| 650 | 2 | 4 | |a Dynamical Systems and Ergodic Theory. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimal Control; Optimization. |
| 650 | 2 | 4 | |a Systems Theory, Control. |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Nonlinear control theory. |2 fast |0 (OCoLC)fst01038787 | |
| 655 | 4 | |a Electronic books. | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772 | |
| 700 | 1 | |a Agrachev, Andrei A. |0 http://id.loc.gov/authorities/names/no2004073731 |1 http://viaf.org/viaf/29812398 | |
| 700 | 1 | |a Nistri, Paolo. |0 http://id.loc.gov/authorities/names/nb2008009493 |1 http://viaf.org/viaf/20008461 | |
| 700 | 1 | |a Stefani, Gianna. |0 http://id.loc.gov/authorities/names/nb2008009492 |1 http://viaf.org/viaf/69257709 | |
| 711 | 2 | |a C.I.M.E. Summer School |d (2004 : |c Cetraro, Italy) | |
| 776 | 0 | 8 | |i Print version: |t Nonlinear and optimal control theory. |d Berlin : Springer, ©2008 |z 9783540776444 |w (DLC) 2007943246 |w (OCoLC)213479394 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1932. | |
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