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时间:2019-03-08
《一类广义凸多目标优化控制问题的改进的mond—weir型对偶》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、维普资讯http://www.cqvip.com2006年3月内蒙古大学学报(自然科学版)Mar.2006第37卷第2期ActaScientlarumNaturaliumUniversitatiaNeiMongolVoI_37No.2ArticleID:1OOO一1638(2006)02—0129一O7AnImprovedMond—WierTypeDualforaGlassofMultiobjectiveControlProblemswithGeneralizedInvexityLIUHai—jun~.CHENGuo—qing(1.DepartmentofMathematics,C
2、ollegeofSciencesandTechnology,InnerMongoliaUniversity,Hohhot010021,China;2.DepartmentofBasicCurriculum,InnerMongoliaAgriculturalUniversity,Hohhot010018,China)Abstract:AnimprovedMond—Weirtypedualforaclassofmultiobjeetiveopti—malcontrolproblemsisconstructed.Undervectorfunctionalinvexityassumptio
3、n.anumberofweakandstrongdualitytheoremsaregivenandproved.Keywords:muhiobjectivecontrolproblems;dual;vectorIunetionalinvexityCLCnumber:0224Documentcode:AintroductionMondandSmartdefinedakindofinvexitywhentheydiscussedthedualityandefficiencyforaclassofscalarcontrolproblems.Recentlyquiteafewauthor
4、sextendedtheconceptofinvexitytoothergeneralizedinvexityandusedthemtodiscussdualityformultiobjeetivevariationalproblemsormuhiobjectiveoptimalcontrolproblems.suchasC2~93.BhatiaandKumardefinedp-invexity,anddiscusseddualityformultiobjectivecontrolproblemswithsuchgeneralizedinvexity;NahakandNandadi
5、scussedthedualityandefficiencyforaclassofmuhiobjectivevariationalproblemswith(F—JD)一convexity;IiangconstructedatypeofmixeddualanddiscussedefficiencyforaclassofmultiobjeetivecontrolproblemswithinvexitydefinedinC13.inthispaper,animprovedMond—Weirtypedualforaclassofmultiobjeetiveoptimalcontrolpro
6、blemsisgiven.Undervectorfunctionalin—vexityassumption,weproveanumberofweakandstrongdualitytheoremsforthedua1.Thedualmodelandresultsinthispapergeneralizethecorrespondingworks~‘·。~establishedearlierinthisfield.NotationsandPreliminariesConsidermultiobjectivecontrolproblems(VCP)bf(tminf(t,x,u)dt一(
7、fI6厂1(t,x,u)df,⋯..,’rI/(f,z,“)出)■uJd口sobjectto(口)一口,(6)=(1)g(t。z,“)=:(gl(f,z,“),⋯,gL(f,z,“))≤0,t∈(2)·Receiveddate:2005一O3一O3Foundationitem:SupportedbyNaturalScienceFoundationofInnerMongolia;SupportedbytheTeachingandResearchAwardProgramf
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