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1. The Calculation of Discriminating Kernel Base on Viability Kernel | |||
Han Yanli,Gao Yan | |||
Mathematics 20 January 2016 | |||
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Abstract:In this paper, an application of the computation of kernel in differential game is given. Firstly, an under-approximation of the viability kernel is computed by the backward reachable set from a closed target. Secondly, using the relationship of discriminating kernel and viability kernel, an algorithm of discriminating kernel is proposed. Finally, using the alternative theorem, victory domain can be computed. | |||
TO cite this article:Han Yanli,Gao Yan. The Calculation of Discriminating Kernel Base on Viability Kernel[OL].[20 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4676768 |
2. Necessary optimality conditions for optimal control problems with set-valued constraints | |||
Li An | |||
Mathematics 08 April 2013 | |||
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Abstract:In this paper, we consider optimal control problems with set-valued state and control constraints.The present constraints subsume the existing mixed equality and inequality constraints.The necessary optimality conditions for weak local minimum are derived for these problemsunder calmness and constraint qualification condition on the set-valued constraints,but without any convexity or differentiability assumptions on the original data.The novelty of this paper concerns both the nature of calmness andthe analytic techniques used to derive the results. | |||
TO cite this article:Li An. Necessary optimality conditions for optimal control problems with set-valued constraints[OL].[ 8 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4535133 |
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