Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
Measure valued optimal control problems governed by the linear wave equation are analyzed. The space of vector measures $\mathcal{M}(\Omega_c,L^2(I))$ is chosen as control space and the corresponding total variation norm as the control cost functional. The support of the controls (sparsity pattern) is time-independent, which is desired in many applications, …