Differential Geometry and Control

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		Differential Geometry and Control
		Differential Geometry and Control

This volume presents selections from talks given at the AMS Summer Research Institute on Differential Geometry and Control held at the University of Colorado (Boulder). Included articles were refereed according to the highest standards. This collection provides a coherent global perspective on recent developments and important open problems in geometric control theory. Readers will find in this book an excellent source of current challenging research problems and results.

目录

Remembering the mathematics of Robert Brown Gardner by G. R. Wilkens A Hamiltonian approach to strong minima in optimal control by A. Agrachev, G. Stefani, and P. Zezza The Heisenberg group $H_3$ in terms of the orthonormal frame bundle $O(R^2)$ and the control of variation of the Heisenberg diffusion by H. Airault Linear control systems on Lie groups and controllability by V. Ayala and J. Tirao Real analytic geometry and local observability by Z. Bartosiewicz External dynamic feedback equivalence of observable discrete-time control systems by E. Pawluszewicz and Z. Bartosiewicz Good needle-like variations by R. M. Bianchini Representations of Dirac structures on vector spaces and nonlinear L-C circuits by A. M. Bloch and P. E. Crouch Non integrable geodesics in SR-Martinet geometry by B. Bonnard, M. Chyba, and I. Kupka Singular extremals of order 3 and chattering by V. F. Borisov Some open problems in control theory by J.-M. Coron Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem by A. V. Dmitruk Some solvable infinite time horizon stochastic control problems in hyperbolic three space by T. E. Duncan Geometric control and Lie semigroup theory by J. D. Lawson Analysis of abnormal extremals in optimal control by U. Ledzewicz and H. Schattler Rolling bodies with regular surface: The holonomic case by A. Marigo and A. Bicchi On degenerate Monge-Ampere equations by V. Ramakrishna Lie brackets and impulsive controls: An unavoidable connection by F. Rampazzo Survey on controllability of invariant systems on solvable Lie groups by Y. L. Sachkov Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems by G. R. Wilkens On hypersurfaces satisfying a basic equality by J. Yang.

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