On the asymptotic stability of boundary trajectories |
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| Authors: | JONATHAN E GAYEK THOMAS L VINCENT |
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| Affiliation: | 1. Mathematics , Trinity University , San Antonio, Texas, 78284, U.S.A;2. Aerospace and Mechanical Engineering , University of Arizona , Tucson, Arizona, 85721, U.S.A |
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| Abstract: | For a class of dynamical systems, it is shown that trajectories which remain on the boundary of a non-empty, connected subset of a reachable set must be asymptotically stable. Using this result and a reachability maximum principle, we obtain a control law which will drive the system from the origin to the boundary of the reachable set for a class of two-dimensional linear control systems. Using this control law, the reachable set is easily constructed. |
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