LEADER 04662nam 22007695 450 001 996466514003316 005 20200702093434.0 010 $a3-540-77653-2 024 7 $a10.1007/978-3-540-77653-6 035 $a(CKB)1000000000437240 035 $a(SSID)ssj0000319202 035 $a(PQKBManifestationID)11222392 035 $a(PQKBTitleCode)TC0000319202 035 $a(PQKBWorkID)10336629 035 $a(PQKB)10719795 035 $a(DE-He213)978-3-540-77653-6 035 $a(MiAaPQ)EBC3068731 035 $a(PPN)127052275 035 $a(EXLCZ)991000000000437240 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear and Optimal Control Theory$b[electronic resource] $eLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 /$fby Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Hector J. Sussmann, Vadim I. Utkin ; edited by Paolo Nistri, Gianna Stefani 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (XIV, 360 p. 78 illus.) 225 1 $aC.I.M.E. Foundation Subseries 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 $aThe lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems. 410 0$aC.I.M.E. Foundation Subseries 606 $aSystem theory 606 $aCalculus of variations 606 $aDifferential geometry 606 $aDynamics 606 $aErgodic theory 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aSystem theory. 615 0$aCalculus of variations. 615 0$aDifferential geometry. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aSystems Theory, Control. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aDifferential Geometry. 615 24$aDynamical Systems and Ergodic Theory. 676 $a629.8/36 700 $aAgrachev$b Andrei A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472521 702 $aMorse$b A. 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