Remarque sur la stabilité dans le cas d'une équation linéaire à paramètre retardé avec une perturbation non linéaire
Representation of the set of mild solutions to the relaxed semilinear differential inclusion
We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.
Robustness of decentralized control subject to nonlinear perturbation in the system dynamics