Minimal Time Problem with Impulsive Controls
Journal Article
·
· Applied Mathematics and Optimization
- University of Graz, Institute for Mathematics and Scientific Computing (Austria)
- Austrian Academy of Sciences, Radon Institute of Computational and Applied Mathematics (Austria)
Time optimal control problems for systems with impulsive controls are investigated. Sufficient conditions for the existence of time optimal controls are given. A dynamical programming principle is derived and Lipschitz continuity of an appropriately defined value functional is established. The value functional satisfies a Hamilton–Jacobi–Bellman equation in the viscosity sense. A numerical example for a rider-swing system is presented and it is shown that the reachable set is enlargered by allowing for impulsive controls, when compared to nonimpulsive controls.
- OSTI ID:
- 22617101
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 1 Vol. 75; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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