1 option
Differential geometry and control : Summer Research Institute on Differential Geometry and Control, June 29-July 19, 1997, University of Colorado, Boulder / G. Ferreyra [and three others], editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- Summer Research Institute on Differential Geometry and Control (1997 : University of Colorado, Boulder), issuing body.
- Summer Research Institute on Differential Geometry and Control
- Series:
- Proceedings of symposia in pure mathematics ; v. 64.
- Proceedings of symposia in pure mathematics, 0082-0717 ; volume 64
- Language:
- English
- Subjects (All):
- Control theory--Congresses.
- Control theory.
- Geometry, Differential--Congresses.
- Geometry, Differential.
- Exterior differential systems--Congresses.
- Exterior differential systems.
- Physical Description:
- 1 online resource (352 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1999]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Remembering the mathematics of Robert Brown Gardner""; ""A Hamiltonian approach to strong minima in optimal control""; ""The Heisenberg group H[sub(3)] in terms of the orthonormal frame bundle 0(R[sup(2)]) and the control of variation of the Heisenberg diffusion""; ""Linear control systems on Lie groups and controllability""; ""Real analytic geometry and local observability""; ""External dynamic feedback equivalence of observable discrete-time control systems""; ""Good needle-like variations""
- ""Representations of Dirac structures on vector spaces and nonlinear L-C circuits""""Non integrable geodesies in SR-Martinet geometry""; ""Singular extremals of order 3 and chattering""; ""Some open problems in control theory""; ""Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem""; ""Some solvable infinite time horizon stochastic control problems in hyperbolic three space""; ""Geometric control and Lie semigroup theory""; ""Analysis of abnormal extremals in optimal control""; ""Rolling bodies with regular surface: The holonomic case""
- ""On degenerate Monge-Ampere equations""""Lie brackets and impulsive controls: An unavoidable connection""; ""Survey on controllability of invariant systems on solvable Lie groups""; ""Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems""; ""On hypersurfaces satisfying a basic equality""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9368-8
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.