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Necessary optimality conditions for optimal control problems with set-valued constraints
Li An *
School of Mathematical Sciences, Xiamen University, Xiamen 361005
*Correspondence author
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Funding: the Specialized Research Fund for the Doctoral Program of Higher Education （No.20100121120018）
Opened online:15 April 2013
Accepted by: none
Citation: Li An.Necessary optimality conditions for optimal control problems with set-valued constraints[OL]. [15 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4535133
 
 
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.
Keywords:necessary optimality conditions; calmness constraint qualification; nonsmooth analysis
 
 
 

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