Characterizations of Some Variational Perturbations of the Abstract Linear-Quadratic Problem
T. Zolezzi · SIAM Journal on Control and Optimization · 1978
The coefficients of the plant are perturbed in an abstract linear quadratic problem on a Hilbert space. Many characterizations are obtained about the perturbations that give strongly convergent sequences of optimal controls. Some connections are shown to exist between this continuous dependence problem and some modes of variational convergence for sequences of convex functions, in particular Mosco’s convergence. Two applications are given to the classical linear-quadratic problem, for ordinary and elliptic partial differential equations.