Povoas, M. Boundary control of a symmetric hyperbolic system with nonlinear boundary conditions. (English) Zbl 0553.49005 Port. Math. 41, 393-403 (1982). The author considers a boundary control system (in a bounded domain of n- dimensional space) described by a singular symmetric hyperbolic system with a nonlinear boundary condition; the problem at hand is that of minimizing a quadratic functional of the boundary control. The general setup is that of J. L. Lions [”Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles”, Paris (1968; Zbl 0179.418)]. Reviewer: H.Fattorini MSC: 49J20 Existence theories for optimal control problems involving partial differential equations 35L55 Higher-order hyperbolic systems 93C20 Control/observation systems governed by partial differential equations 35B37 PDE in connection with control problems (MSC2000) Keywords:boundary control system; singular symmetric hyperbolic system Citations:Zbl 0179.418 PDFBibTeX XMLCite \textit{M. Povoas}, Port. Math. 41, 393--403 (1982; Zbl 0553.49005) Full Text: EuDML