RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2008 Volume 262, Pages 222–239 (Mi tm776)

This article is cited in 9 papers

Necessary Optimality Conditions for a Class of Optimal Control Problems with Discontinuous Integrand

A. I. Smirnov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: We consider a nonlinear optimal control problem with an integral functional in which the integrand contains the characteristic function of a given closed subset of the phase space. Using an approximation method, we prove necessary optimality conditions in the form of the Pontryagin maximum principle without any a priori assumptions about the behavior of an optimal trajectory.

UDC: 517.977

Received in April 2008


 English version:
Proceedings of the Steklov Institute of Mathematics, 2008, 262, 213–230

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025