Mazumdar, Tapas Minimization, over selected convex sets, of a noncoercive cost functional for hyperbolic systems. (English) Zbl 0644.49003 Mat. Apl. Comput. 6, 277-293 (1987). We investigate the problem of optimal control of systems governed by second-order linear hyperbolic equations. We obtain a set of coupled differential equations and inequalities, whose unique solution will be the minimizing element of a noncoercive cost functional. We also study the regularity of the optimal control for a specific example. MSC: 49J20 Existence theories for optimal control problems involving partial differential equations 35L10 Second-order hyperbolic equations 93C20 Control/observation systems governed by partial differential equations 35B37 PDE in connection with control problems (MSC2000) 93C05 Linear systems in control theory Keywords:optimal control; second-order linear hyperbolic equations; noncoercive cost functional; regularity PDFBibTeX XMLCite \textit{T. Mazumdar}, Mat. Apl. Comput. 6, 277--293 (1987; Zbl 0644.49003)