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Differential Geometry and Control
About this Title
G. Ferreyra, Louisiana State University, Baton Rouge, LA, R. Gardner, University of North Carolina, Chapel Hill, NC, H. Hermes, University of Colorado, Boulder, CO and H. Sussmann, Rutgers University, New Brunswick, NJ, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1999; Volume 64
ISBNs: 978-0-8218-0887-0 (print); 978-0-8218-9368-5 (online)
DOI: https://doi.org/10.1090/pspum/064
ReadershipTable of Contents
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Front/Back Matter
Articles
- George R. Wilkens – Remembering the mathematics of Robert Brown Gardner [MR 1654541]
- Andrei Agrachev, Gianna Stefani and Pierluigi Zezza – A Hamiltonian approach to strong minima in optimal control [MR 1654537]
- Helene Airault – 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 [MR 1654533]
- Victor Ayala and Juan Tirao – Linear control systems on Lie groups and controllability [MR 1654529]
- Zbigniew Bartosiewicz – Real analytic geometry and local observability [MR 1654525]
- Ewa Pawłuszewicz and Zbigniew Bartosiewicz – External dynamic feedback equivalence of observable discrete-time control systems [MR 1654521]
- R. M. Bianchini – Good needle-like variations [MR 1654517]
- Anthony M. Bloch and Peter E. Crouch – Representations of Dirac structures on vector spaces and nonlinear L-C circuits [MR 1654513]
- Bernard Bonnard, Monique Chyba and Ivan Kupka – Nonintegrable geodesics in SR-Martinet geometry [MR 1654588]
- V. F. Borisov – Singular extremals of order $3$ and chattering [MR 1654584]
- Jean-Michel Coron – Some open problems in control theory [MR 1654580]
- A. V. Dmitruk – Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem [MR 1654576]
- T. E. Duncan – Some solvable infinite time horizon stochastic control problems in hyperbolic three space [MR 1654572]
- Jimmie D. Lawson – Geometric control and Lie semigroup theory [MR 1654568]
- Urszula Ledzewicz and Heinz Schättler – Analysis of abnormal extremals in optimal control [MR 1654564]
- Alessia Marigo and Antonio Bicchi – Rolling bodies with regular surface: the holonomic case [MR 1654560]
- Viswanath Ramakrishna – On degenerate Monge-Ampère equations [MR 1654556]
- Franco Rampazzo – Lie brackets and impulsive controls: an unavoidable connection [MR 1654552]
- Yuri L. Sachkov – Survey on controllability of invariant systems on solvable Lie groups [MR 1654548]
- George R. Wilkens – Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems [MR 1654544]
- Jie Yang – On hypersurfaces satisfying a basic equality [MR 1654540]