03353nam 2200613 a 450 991048420950332120200520144314.09783540776536354077653210.1007/978-3-540-77653-6(CKB)1000000000437240(SSID)ssj0000319202(PQKBManifestationID)11222392(PQKBTitleCode)TC0000319202(PQKBWorkID)10336629(PQKB)10719795(DE-He213)978-3-540-77653-6(MiAaPQ)EBC3068731(PPN)127052275(EXLCZ)99100000000043724020071213d2008 uy 0engurnn#008mamaatxtccrNonlinear 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 Stefani1st ed. 2008.Berlin Springerc20081 online resource (XIV, 360 p. 78 illus.)Lecture notes in mathematics,0075-8434 ;1932"Fondazione CIME."9783540776444 3540776443 Includes bibliographical references.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.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.Lecture notes in mathematics (Springer-Verlag) ;1932.Nonlinear control theoryMathematical optimizationNonlinear control theory.Mathematical optimization.629.8/36Agrachev Andrei A472521Nistri Paolo503772Stefani Gianna503773Centro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK9910484209503321Nonlinear and optimal control theory4194654UNINA