Boundary trajectories of systems with unbounded controls |
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Authors: | B. Kaskosz S. Łojasiewicz Jr. |
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Affiliation: | (1) Department of Mathematics, University of Rhode Island, Kingston, Rhode Island |
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Abstract: | For a nonsmooth control system, with possibly unbounded sets of velocities and controls, we give a first-order necessary condition for the problem of reaching the boundary of the attainable set. The condition is a relaxed version of the maximum principle. We give an example which demonstrates that, in some cases, the theorem proved in this paper is stronger than all other versions of the maximum principle. |
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Keywords: | Nonsmooth control systems boundary trajectories maximum principle relaxed controls |
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