Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion
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We consider a problem of optimal control for parabolic-hyperbolic equations with nonlocal boundary conditions and semidefinite quality criterion. The optimality conditions are constructed by reducing the problem to a sequence of one-dimensional problems, the optimal control is obtained in a closed form, and its convergence is proved. The form of the quality criterion is substantiated.
KeywordsOptimality Condition Closed Form Quality Criterion Homogeneous Case Discontinuous Function
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- 6.V. E. Kapustyan and I. A. Pyshnograev, “Conditions for the existence and uniqueness of the solution of a hyperbolic-parabolic equation with nonlocal boundary conditions,” Nauch. Vestn. Nats. Tekh. Univ. Ukr. “KPI,” 4, 72–86 (2012).Google Scholar