Robustness of viability controllers under small perturbations (Q1337216)

The paper studies nonlinear constrained control problems subject to uncertainty. A viability set \(K\) in the state space is assumed to exist for a class of nonlinear systems with a set-valued map acting as a feedback law. The perturbed system is subject to additive disturbances, and the viability set \(K\) is depending on an uncertain parameter \(u\). Based on differential inclusions and viability theory, an explicit estimate is derived for the range of variations of \(u\) which do not destroy the viability of the set \(K(u)\).