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
Type
Article accepté pour publication ou publiéDate
1976Journal name
Journal of Optimization Theory and ApplicationsVolume
19Number
3Publisher
Springer
Pages
469-478
Publication identifier
Metadata
Show full item recordAbstract (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 / Keywords
Control theory; maximum principle; trajectories; calculus of variationsRelated items
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