Abstract

We derive partial differential inclusions of hyperbolic type solutions of which are feedbacks governing viable (controlled invariant) solutions of a control system. We also show that the tracking property leads to such partial differential inclusions. We state a variational principle and an existence theorem of a (single-valued contingent) solution to such an inclusion.

Author information

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Jean-Pierre Aubin

CEREMADE, Université de Paris-Dauphine, 75775 Paris Cedex 16, France.

Hélène Frankowska

CEREMADE, Université de Paris-Dauphine, 75775 Paris Cedex 16, France.

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Suggested citation

J.-P. Aubin, H. Frankowska. “Partial Differential Inclusions Governing Feedback Controls.” Journal of Convex Analysis 2 (1995), No. 1&2, 19–40. https://doi.org/10.68381/jca02002

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Published by Heldermann Verlag, 1995. Rights now held by Banach Press LLC.