Optimal solutions to differential inclusions
Clarke, Frank H. (1976), Optimal solutions to differential inclusions, Journal of Optimization Theory and Applications, 19, 3, p. 469-478. http://dx.doi.org/10.1007/BF00941488
TypeArticle accepté pour publication ou publié
Journal nameJournal of Optimization Theory and Applications
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Author(s)Clarke, Frank H.
University of British Columbia
Abstract (EN)We treat a control problem given in terms of a differential inclusion x˙(t)∈E(t,x(t)) and develop necessary conditions for a minimum in the problem. These conditions are given in terms of certain normals to arbitrary closed sets, and require no smoothness or convexity in the problem. The results subsume related works that incorporate convexity assumptions.
Subjects / KeywordsControl theory; maximum principle; trajectories; calculus of variations
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