Optimal solutions to differential inclusions |
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| Authors: | F. H. Clarke |
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| Affiliation: | 1. Department of Mathematics, University of British Columbia, Vancouver, Canada
2. Mathématiques de la Décision, Université de Paris IX (Dauphine), Paris, France
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| Abstract: | We treat a control problem given in terms of a differential inclusion $$dot x(t) in E(t,x(t))$$ 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. |
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