{"title":"非线性基中立型系统的最优控制(最大原理视角)","authors":"C. Nse, A. Eke","doi":"10.4314/JONAMP.V11I1.40219","DOIUrl":null,"url":null,"abstract":"In this paper we examine the Euclidean controllability for a neutral system with a nonlinear base given by d dt D(t,x t ) = f[(t,x t ,u(t)] + B(t)u(t) * \nBy a careful analysis of the maximum principle, necessary and sufficient conditions for the existence and uniqueness of optimal controls are deduced. This work is a great improvement of existing works providing a relationship between the attainable and reachable sets. JONAMP Vol. 11 2007: pp.269-274","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal control of neutral systems with nonlinear base (The maximum principle perspective)\",\"authors\":\"C. Nse, A. Eke\",\"doi\":\"10.4314/JONAMP.V11I1.40219\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we examine the Euclidean controllability for a neutral system with a nonlinear base given by d dt D(t,x t ) = f[(t,x t ,u(t)] + B(t)u(t) * \\nBy a careful analysis of the maximum principle, necessary and sufficient conditions for the existence and uniqueness of optimal controls are deduced. This work is a great improvement of existing works providing a relationship between the attainable and reachable sets. JONAMP Vol. 11 2007: pp.269-274\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"2013 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40219\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40219","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal control of neutral systems with nonlinear base (The maximum principle perspective)
In this paper we examine the Euclidean controllability for a neutral system with a nonlinear base given by d dt D(t,x t ) = f[(t,x t ,u(t)] + B(t)u(t) *
By a careful analysis of the maximum principle, necessary and sufficient conditions for the existence and uniqueness of optimal controls are deduced. This work is a great improvement of existing works providing a relationship between the attainable and reachable sets. JONAMP Vol. 11 2007: pp.269-274