Optimal solutions to differential inclusions

Clarke, Frank H.

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

Number

Publisher

Springer

Pages

469-478

Publication identifier

http://dx.doi.org/10.1007/BF00941488

Metadata

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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 / Keywords

Control theory; maximum principle; trajectories; calculus of variations