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

Author/creator Summer Research Institute on Differential Geometry and Control
Other author Ferreyra, Guillermo Segundo, 1953-
Format Book
Publication InfoProvidence, R.I. : American Mathematical Society, ©1999.
Descriptionviii, 341 pages : illustrations ; 26 cm.
Subjects

SeriesProceedings of symposia in pure mathematics ; v. 64
Proceedings of symposia in pure mathematics v. 64. ^A58870
Contents 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 H₃ in terms of the orthonormal frame bundle O(R²) 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 Pawłuszewicz 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 -- Non integrable 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 Schättler -- Rolling bodies with regular surface: the holonomic case / Alessia Marigo and Antonio Bicchi -- On degenerate Monge-Ampere 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.
Bibliography noteIncludes bibliographical references.
LCCN 98038711
ISBN0821808877 (alk. paper)