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This article is cited in 1 scientific paper (total 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.
Received: 25.11.1994
Citation:
S. Ya. Serovaǐskiǐ, “Optimal control of a nonlinear singular system with state constraints”, Mat. Zametki, 60:4 (1996), 511–518; Math. Notes, 60:4 (1996), 383–388
Linking options:
https://www.mathnet.ru/eng/mzm1859https://doi.org/10.4213/mzm1859 https://www.mathnet.ru/eng/mzm/v60/i4/p511
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