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100   $a20071213d2008      uy         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 00$aNonlinear and optimal control theory $electures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 /$fAndrei A. Agrachev ... [et al.] ; editors, Paolo Nistri, Gianna Stefani
205   $a1st ed. 2008.
210   $aBerlin $cSpringer$dc2008
215   $a1 online resource (XIV, 360 p. 78 illus.)
225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1932
300   $a"Fondazione CIME."
311   $a3-540-77644-3 
320   $aIncludes bibliographical references.
327   $aGeometry 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.
330   $aThe lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1932.
606   $aNonlinear control theory
606   $aMathematical optimization
615  0$aNonlinear control theory.
615  0$aMathematical optimization.
676   $a629.8/36
701   $aAgrachev$b Andrei A$0472521
701   $aNistri$b Paolo$0503772
701   $aStefani$b Gianna$0503773
712 02$aCentro internazionale matematico estivo.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484209503321
996   $aNonlinear and optimal control theory$94194654
997   $aUNINA