Differential geometry and control : [electronic resource] Summer Research Institute on Differential Geometry and Control, June 29-July 19, 1997, University of Colorado, Boulder / G. Ferreyra ... [et al.], editors.

By: Summer Research Institute on Differential Geometry and Control (1997 : University of Colorado, Boulder)Contributor(s): Ferreyra, Guillermo Segundo, 1953-Material type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 64Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (viii, 341 p. : ill.)ISBN: 9780821893685 (online)Subject(s): Control theory -- Congresses | Geometry, Differential -- Congresses | Exterior differential systems -- CongressesAdditional physical formats: Differential geometry and control :DDC classification: 629.8/312 LOC classification: QA402.3 | .S887 1997Online resources: Contents | Contents
Contents:
Remembering the mathematics of Robert Brown Gardner / George R. Wilkens -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654541 A Hamiltonian approach to strong minima in optimal control / Andrei Agrachev, Gianna Stefani and Pierluigi Zezza -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654537 The Heisenberg group $H_3$ in terms of the orthonormal frame bundle $\mathrm {O}(\mathbf {R}^2)$ and the control of variation of the Heisenberg diffusion / Helene Airault -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654533 Linear control systems on Lie groups and controllability / Victor Ayala and Juan Tirao -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654529 Real analytic geometry and local observability / Zbigniew Bartosiewicz -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654525 External dynamic feedback equivalence of observable discrete-time control systems / Ewa Paw�uszewicz and Zbigniew Bartosiewicz -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654521 Good needle-like variations / R. M. Bianchini -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654517 Representations of Dirac structures on vector spaces and nonlinear L-C circuits / Anthony M. Bloch and Peter E. Crouch -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654513 Nonintegrable geodesics in SR-Martinet geometry / Bernard Bonnard, Monique Chyba and Ivan Kupka -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654588 Singular extremals of order $3$ and chattering / V. F. Borisov -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654584 Some open problems in control theory / Jean-Michel Coron -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654580 Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem / A. V. Dmitruk -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654576 Some solvable infinite time horizon stochastic control problems in hyperbolic three space / T. E. Duncan -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654572 Geometric control and Lie semigroup theory / Jimmie D. Lawson -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654568 Analysis of abnormal extremals in optimal control / Urszula Ledzewicz and Heinz Sch�attler -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654564 Rolling bodies with regular surface: the holonomic case / Alessia Marigo and Antonio Bicchi -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654560 On degenerate Monge-Amp�ere equations / Viswanath Ramakrishna -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654556 Lie brackets and impulsive controls: an unavoidable connection / Franco Rampazzo -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654552 Survey on controllability of invariant systems on solvable Lie groups / Yuri L. Sachkov -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654548 Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems / George R. Wilkens -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654544 On hypersurfaces satisfying a basic equality / Jie Yang -- http://www.ams.org/pspum/064 http://dx.doi.org/10.1090/pspum/064/1654540
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Includes bibliographical references.

Remembering the mathematics of Robert Brown Gardner / George R. Wilkens -- A Hamiltonian approach to strong minima in optimal control / Andrei Agrachev, Gianna Stefani and Pierluigi Zezza -- The Heisenberg group $H_3$ in terms of the orthonormal frame bundle $\mathrm {O}(\mathbf {R}^2)$ and the control of variation of the Heisenberg diffusion / Helene Airault -- Linear control systems on Lie groups and controllability / Victor Ayala and Juan Tirao -- Real analytic geometry and local observability / Zbigniew Bartosiewicz -- External dynamic feedback equivalence of observable discrete-time control systems / Ewa Paw�uszewicz and Zbigniew Bartosiewicz -- Good needle-like variations / R. M. Bianchini -- Representations of Dirac structures on vector spaces and nonlinear L-C circuits / Anthony M. Bloch and Peter E. Crouch -- Nonintegrable geodesics in SR-Martinet geometry / Bernard Bonnard, Monique Chyba and Ivan Kupka -- Singular extremals of order $3$ and chattering / V. F. Borisov -- Some open problems in control theory / Jean-Michel Coron -- Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem / A. V. Dmitruk -- Some solvable infinite time horizon stochastic control problems in hyperbolic three space / T. E. Duncan -- Geometric control and Lie semigroup theory / Jimmie D. Lawson -- Analysis of abnormal extremals in optimal control / Urszula Ledzewicz and Heinz Sch�attler -- Rolling bodies with regular surface: the holonomic case / Alessia Marigo and Antonio Bicchi -- On degenerate Monge-Amp�ere equations / Viswanath Ramakrishna -- Lie brackets and impulsive controls: an unavoidable connection / Franco Rampazzo -- Survey on controllability of invariant systems on solvable Lie groups / Yuri L. Sachkov -- Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems / George R. Wilkens -- On hypersurfaces satisfying a basic equality / Jie Yang --

http://www.ams.org/pspum/064

http://dx.doi.org/10.1090/pspum/064/1654541

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http://dx.doi.org/10.1090/pspum/064/1654588

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http://dx.doi.org/10.1090/pspum/064/1654584

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http://dx.doi.org/10.1090/pspum/064/1654580

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http://dx.doi.org/10.1090/pspum/064/1654576

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http://dx.doi.org/10.1090/pspum/064/1654556

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http://dx.doi.org/10.1090/pspum/064/1654552

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http://dx.doi.org/10.1090/pspum/064/1654548

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http://dx.doi.org/10.1090/pspum/064/1654544

http://www.ams.org/pspum/064

http://dx.doi.org/10.1090/pspum/064/1654540

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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