Necessary and sufficient conditions for bang-bang control |
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| Authors: | H Fujihira |
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| Institution: | (1) Department of Applied Mathematics, Faculty of Engineering Science, University of Osaka, Toyonaka, Osaka, Japan |
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| Abstract: | Necessary and sufficient conditions for the optimal control to be bang-bang are presented for a nonlinear system. The payoff, which is not necessarily quadratic, is assumed to be described by a Hilbert-space norm and to be differentiable and convex. The results are extensions of Ref. 1 to the case of nonlinear systems. |
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| Keywords: | Optimal control nonlinear operators Frechet differentiability Hilbert spaces bang-bang control |
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