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

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.}8e Zrcz7q4_}!k5n#O(H0Abstract: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.水利论文0e b#{s6l+^8ZT

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作者:

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Xi CHEN[1] Yi-rong YAO[1] Quan ZHENG[2]

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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\Q Q"Q6a8I

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应用数学和力学(英文版)

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APPLIED MATHEMATICS AND MECHANICS

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Keywords:水利论文 g*b/Q Z(i#V

i.t%~4UF s)l)K2a `0global optimization水利论文G,w4J.q%Z+Ro.k p|

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deviation integral水利论文 h8a3sS!e.Yd

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variable measure水利论文H:m:Y;F}

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R-convergence

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finite-dimensional approximation水利论文o)R2}+B`9?8b8H

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d)R-tq8B&i#kQF0sequence of approximate solutions functional space optimal control effectiveness approach new水利论文+r)z*K\~"`

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the National Natural Science Foundation of China,Shanghai Leading Academic Discipline Project水利论文~Xqt4c{[:Tev

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