Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints
نویسندگان
چکیده
We study optimal control problems for hyperbolic equations (focusing on the multidimensional wave equation) with control functions in the Dirichlet boundary conditions under hard/pointwise control and state constraints. Imposing appropriate convexity assumptions on the cost integral functional, we establish the existence of optimal control and derive new necessary optimality conditions in the integral form of the Pontryagin Maximum Principle for hyperbolic state-constrained systems.
منابع مشابه
DIRICHLET BOUNDARY CONTROL OF HYPERBOLIC EQUATIONS IN THE PRESENCE OF STATE CONSTRAINTS BORIS S. MORDUKHOVICH1 and JEAN-PIERRE RAYMOND2
We study optimal control problems for hyperbolic equations (focusing on the multidimensional wave equation) with control functions in the Dirichlet boundary conditions under hard/pointwise control and state constraints. Imposing appropriate convexity assumptions on the cost integral functional, we establish the existence of optimal control and derive new necessary optimality conditions in the i...
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