Optimal Control of Singular Stationary Systems with Phase Constraints and State Variation

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University

Abstract: An optimal control problem for a system described by a singular nonlinear equation of elliptic type with an inclusion phase constraint is considered. Necessary optimality conditions are obtained by varying system states.

Keywords: optimal control, singular nonlinear control system with an inclusion phase constraint, variational method.

UDC: 571.977

Received: 07.09.2013
Revised: 20.02.2014

DOI: 10.4213/mzm10389

 English version: Mathematical Notes, 2015, 97:5, 774–778

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