This article is cited in 1 paper

Optimal control of a nonlinear singular system with state constraints

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University

Abstract: A control system described by a nonlinear equation of parabolic type is considered in the situation where there may be no global solution. A particular optimal control problem subject to state constraints is studied. A proof of the existence of an optimal control is presented. The penalty method is used to obtain necessary conditions for optimal control. A proof of the convergence of this method is given. The successive approximation method is used to obtain an approximate solution for the conditions derived.

UDC: 517.977

Received: 25.11.1994

DOI: 10.4213/mzm1859

 English version: Mathematical Notes, 1996, 60:4, 383–388

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