Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints
Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints
We consider optimal control problems for hyperbolic equations with controls in Neumann boundary conditions with pointwise constraints on the control and state functions. Focusing on the multidimensional wave equation with a nonlinear term, we derive new necessary optimality conditions in the form of a pointwise Pontryagin maximum principle for the …