Journal Article10.1016/S0034-4877(03)80019-8
Autonomous optimal control problems
TL;DR: A geometric version of the maximum principle for autonomous optimal control problems is derived and applied to the length-minimizing problem in sub-Riemannian geometry and to Lagrangian mechanics on Lie-algebroids as discussed by the authors.
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About: This article is published in Reports on Mathematical Physics. The article was published on 01 Apr 2003. The article focuses on the topics: Optimal control & Maximum principle.
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References
•Book
Mathematical Theory of Optimal Processes
L. S. Pontryagin
- 01 Dec 1962
TL;DR: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems as discussed by the authors, which can be applied in a variety of situations, including linear equations with variable coefficients.
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Orbits of families of vector fields and integrability of distributions
TL;DR: In this paper, it was shown that the orbits of D are C' submanifolds of M, and moreover that they are the maximal integral submansions of a certain C9? distribution PD.
•Book
Geometry of feedback and optimal control
Bronisław Jakubczyk,Witold Respondek +1 more
- 01 Jan 1998
TL;DR: In this paper, the co-ordinate-free maximum principle is applied to the stabilization problem of nonlinear control systems on R2R3 time-optinal feedback control for nonlinear systems.
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