Optimization methods for nonlinear elliptic optimal control problems with state constraints

Coletsos, J; Kokkinis, B

dc.contributor.author	Coletsos, J	en
dc.contributor.author	Kokkinis, B	en
dc.date.accessioned	2014-03-01T01:55:27Z
dc.date.available	2014-03-01T01:55:27Z
dc.date.issued	2006	en
dc.identifier.issn	11092769	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27734
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-37849189822&partnerID=40&md5=5583fd2a8114ff27ffa6bc08ce0c2d2d	en
dc.subject	Classical penalized gradient projection method	en
dc.subject	Nonlinear elliptic systems	en
dc.subject	Optimal control	en
dc.subject	Optimality conditions	en
dc.subject	Relaxed controls	en
dc.subject	Relaxed penalized conditional descent method	en
dc.subject	State constraints	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Optimal control systems	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Classical penalized gradient projection method	en
dc.subject.other	Nonlinear elliptic systems	en
dc.subject.other	Relaxed controls	en
dc.subject.other	Relaxed penalized conditional descent method	en
dc.subject.other	State constraints	en
dc.subject.other	Optimization	en
dc.title	Optimization methods for nonlinear elliptic optimal control problems with state constraints	en
heal.type	journalArticle	en
heal.publicationDate	2006	en
heal.abstract	An optimal control problem is considered, for systems governed by a highly nonlinear second order elliptic partial differential equation, with control and state constraints. The problem is formulated in the classical and in the relaxed form. Various necessary/sufficient conditions for optimality are given for both formulations. For the numerical solution of these problems, we propose a penalized gradient projection method generating classical controls and a penalized conditional descent method generating relaxed controls. Using also relaxation theory, the behavior in the limit of sequences constructed by these methods is examined. Finally, numerical examples are given.	en
heal.journalName	WSEAS Transactions on Mathematics	en
dc.identifier.volume	5	en
dc.identifier.issue	11	en
dc.identifier.spage	1169	en
dc.identifier.epage	1176	en