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Dariusz Idczak, Stanislaw Walczak, "On the existence of a solution for some distributed optimal control hyperbolic system", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 169637, 15 pages, 2000. https://doi.org/10.1155/S0161171200000880
On the existence of a solution for some distributed optimal control hyperbolic system
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.
Copyright
Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
