Finite-dimensional approximation to global minimizers in functional spaces with

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I5y%K \p%|0Finite-dimensional approximation to global minimizers in functional spaces with R-convergence

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Abstract:A new concept of convergence (R-convergence) of a sequence of measures is applied to characterize global minimizers in a functional space as a sequence of approximate solutions in finite-dimensional spaces. A deviation integral approach is used to find such solutions. For a constrained problem, a penalized deviation integral algorithm is proposed to convert it to unconstrained ones. A numerical example on an optimal control problem with non-convex state constraints is given to show the effectiveness of the algorithm.

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Xi CHEN[1] Yi-rong YAO[1] Quan ZHENG[2]水利论文HT[ B.nv[

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0e {2cf$a,D} P0Department of Mathematics, College of Science, Shanghai University, Shanghai 200444, P.R.ChinaDepartment of Mathematics, College of Science, Shanghai University, Shanghai 200444, P.R.China; Department of Mathematics, Columbus State University, Columbus, GA 31907, USA水利论文+ZWxImkF~`

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iwq-@ LiYa"Q#P0应用数学和力学(英文版)

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!sv \)`'P'p@~0APPLIED MATHEMATICS AND MECHANICS水利论文'm]1U([ Z"g,}

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Keywords:

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"` ?U6Y V:D&FL0global optimization

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deviation integral

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variable measure

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R-convergence

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gXE%\ FB O0finite-dimensional approximation

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机标关键词:

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sequence of approximate solutions functional space optimal control effectiveness approach new水利论文~s#Vz"m VDT

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the National Natural Science Foundation of China,Shanghai Leading Academic Discipline Project

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