Annular short-time stability of generalized Persidskii systems

This work investigates a class of generalized Persidskii systems. We study the conditions of annular short-time stability for the considered kind of systems with an essentially bounded input, which can be checked through linear matrix inequalities. Boundedness conditions on a finite interval of time, with a nonzero initial state, are obtained for this dynamics class. A neuron model example illustrates the proposed conditions.