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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 publié
Date
1976
Journal name
Journal of Optimization Theory and Applications
Volume
19
Number
3
Publisher
Springer
Pages
469-478
Publication identifier
http://dx.doi.org/10.1007/BF00941488
Metadata
Show full item record
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 / Keywords
Control theory; maximum principle; trajectories; calculus of variations

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