UDC 517.977.56
DISTRIBUTED CONTROL WITH GENERAL QUADRATIC CRITERION IN SPECIAL NORM FOR SYSTEMS DESCRIBED BY PARABOLIC-HYPERBOLIC EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Abstract. We obtain conditions to find the distributed optimal control for parabolic-hyperbolic equations with nonlocal boundary conditions and general quadratic criterion in the special norm. The unique solvability of systems for finding the optimal solution is established,
systems’ kernels are estimated, and the convergence of solutions of the problem is proved.
Keywords: optimal control, parabolic–hyperbolic equations, nonlocal boundary conditions, distributed control.
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Капустян Владимир Емельянович,
доктор физ.-мат. наук, профессор, заведующий кафедрой Национального технического университета Украины «Киевский политехнический институт»,
e-mail:
v.kapustyan@mses.kpi.ua.
Пышнограев Иван Александрович,
аспирант Национального технического университета Украины «Киевский политехнический институт»,
e-mail:
pyshnograiev@gmail.com.