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020 _a9783540776536
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024 7 _a10.1007/978-3-540-77653-6
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
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072 7 _aSCI064000
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082 0 4 _a519
_223
100 1 _aAgrachev, Andrei A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNonlinear and Optimal Control Theory
_h[electronic resource] :
_bLectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004 /
_cby Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Héctor J. Sussmann, Vadim I. Utkin ; edited by Paolo Nistri, Gianna Stefani.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXIV, 360 p. 78 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries
505 0 _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.
520 _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.
650 0 _aSystems theory.
650 0 _aMathematical optimization.
650 0 _aGlobal differential geometry.
650 0 _aDifferentiable dynamical systems.
650 1 4 _aSystems Theory, Control.
_0http://scigraph.springernature.com/things/product-market-codes/M13070
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
700 1 _aMorse, A. Stephen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aSontag, Eduardo D.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aSussmann, Héctor J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aUtkin, Vadim I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aNistri, Paolo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aStefani, Gianna.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540870258
776 0 8 _iPrinted edition:
_z9783540776444
830 0 _aC.I.M.E. Foundation Subseries
856 4 0 _uhttps://doi.org/10.1007/978-3-540-77653-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9419
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