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Boundary control of a symmetric hyperbolic system with nonlinear boundary conditions. (English) Zbl 0553.49005

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)

Citations:

Zbl 0179.418
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