On the existence of a solution for some distributed optimal control hyperbolic system

Dariusz Idczak and Stanislaw Walczak

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-15

Abstract:

We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. We prove a theorem on the existence of an optimal process in the classes of absolutely continuous trajectories of two variables and measurable controls with values in a fixed compact and convex set.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:169637

DOI: 10.1155/S0161171200000880

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