This paper adapts to the case of impulse and hybrid control systems the results obtained bu Aubin, Bicchi and Pancanti on "detectability" of solutions of usual control systems.

In this paper, we characterize the viability property of a closed subset of paths under an impulse path-dependent differential inclusion using the Viability Theorems of [25,26,27, Haddad]. Actually, on part of the Characterization Theorem is for any general impulse evolutionary system that we...