On the existence of a solution for some distributed optimal control hyperbolic system
type: Item
instance of: scholarly article
title: On the existence of a solution for some distributed optimal control hyperbolic system
zbMATH Open document ID: 0959.49004
DOI: 10.1155/S0161171200000880
author: Dariusz Idczak
author: Stanislaw Walczak
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-08-07T00:00:00Z
full work available at URL: https://eudml.org/doc/48701
review text: Summary: 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.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1485596
zbMATH Keywords: distributed parameters system
zbMATH Keywords: optimal control
zbMATH Keywords: existence theorem
zbMATH Keywords: Bolza problem
zbMATH Keywords: Darboux-Goursat system
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1485596