Finite-dimensional approximation to global minimizers in functional spaces with

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Finite-dimensional approximation to global minimizers in functional spaces with R-convergence水利论文(fRFS pZ/P4K7By.n

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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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C p%n*O}YsOO0Xi CHEN[1] Yi-rong YAO[1] Quan ZHENG[2]水利论文-F7y:^e R0^|`H

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Department 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Gl:K fxz

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Journal:

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1wS"[h(n] G0APPLIED MATHEMATICS AND MECHANICS

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2011, 32(1)

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)U;[n1o.{*f3P0global optimization

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4nu4D@J/x3pb,U0deviation integral水利论文,f:q4S O4l%abp2|SX

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variable measure水利论文"U0m`pD)kwj

k4jSV Kk0R-convergence水利论文:L9_0oUnCT.K-d

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finite-dimensional approximation

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机标分类号:

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&jF"fs"i7S:A o;a0sequence of approximate solutions functional space optimal control effectiveness approach new水利论文*[]j)`9WFW~l

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v5oZ9F#?*{0the National Natural Science Foundation of China,Shanghai Leading Academic Discipline Project

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