Another Jacobi sufficiency criterion for optimal control with smooth constraints |
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| Authors: | D. Orrell V. Zeidan |
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| Affiliation: | (1) Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada;(2) Present address: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada |
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| Abstract: | In order to tighten the gap between necessary and sufficient conditions, new second-order sufficient conditions are developed for optimal control problems, where the control set is given by smooth functions. When the control set is polyhedral, our criterion generalizes prior results of the same kind, namely, the Jacobi criterion in Hamiltonian form and that in Lagrangian form (Refs. 1–3).The research of V. Zeidan was supported by NSERC Grant A-8570, which is gratefully acknowledged. |
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| Keywords: | Weak and strong local minima optimal control smooth constraints calculus of variations Jacobi condition |
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