Proceedings of Symposia in Pure Mathematics 1999; 341 pp; hardcover Volume: 64 ISBN10: 0821808877 ISBN13: 9780821808870 List Price: US$96 Member Price: US$76.80 Order Code: PSPUM/64
 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. Readership Graduate students, researchers, educators and applied mathematicians working in control theory; electrical, mechanical and aerospace engineers. Table of Contents  G. R. Wilkens  Remembering the mathematics of Robert Brown Gardner
 A. Agrachev, G. Stefani, and P. Zezza  A Hamiltonian approach to strong minima in optimal control
 H. Airault  The Heisenberg group \(H_3\) in terms of the orthonormal frame bundle \(O(R^2)\) and the control of variation of the Heisenberg diffusion
 V. Ayala and J. Tirao  Linear control systems on Lie groups and controllability
 Z. Bartosiewicz  Real analytic geometry and local observability
 E. Pawłuszewicz and Z. Bartosiewicz  External dynamic feedback equivalence of observable discretetime control systems
 R. M. Bianchini  Good needlelike variations
 A. M. Bloch and P. E. Crouch  Representations of Dirac structures on vector spaces and nonlinear LC circuits
 B. Bonnard, M. Chyba, and I. Kupka  Non integrable geodesics in SRMartinet geometry
 V. F. Borisov  Singular extremals of order 3 and chattering
 J.M. Coron  Some open problems in control theory
 A. V. Dmitruk  Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem
 T. E. Duncan  Some solvable infinite time horizon stochastic control problems in hyperbolic three space
 J. D. Lawson  Geometric control and Lie semigroup theory
 U. Ledzewicz and H. Schättler  Analysis of abnormal extremals in optimal control
 A. Marigo and A. Bicchi  Rolling bodies with regular surface: The holonomic case
 V. Ramakrishna  On degenerate MongeAmpere equations
 F. Rampazzo  Lie brackets and impulsive controls: An unavoidable connection
 Y. L. Sachkov  Survey on controllability of invariant systems on solvable Lie groups
 G. R. Wilkens  Centroaffine geometry in the plane and feedback invariants of twostate scalar control systems
 J. Yang  On hypersurfaces satisfying a basic equality
