Differential inclusions with unbounded right-hand side and necessary optimality conditions

E. S. Polovinkin

Informatics and Automation, Optimal control, Tome 291 (2015), pp. 249-265.

Résumé

We study the properties of the trajectories of a differential inclusion with unbounded measurable–pseudo-Lipschitz right-hand side that takes values in a separable Banach space and consider the problem of minimizing a functional over the set of trajectories of such a differential inclusion on an interval. We obtain necessary optimality conditions in the form of Euler–Lagrange differential inclusions for a problem with free right end.

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