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

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  • Dariusz Idczak
  • Stanislaw Walczak

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.

Suggested Citation

  • Dariusz Idczak & Stanislaw Walczak, 2000. "On the existence of a solution for some distributed optimal control hyperbolic system," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:169637
    DOI: 10.1155/S0161171200000880
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