Input-to-state stability of switched stochastic delayed systems with Levy noise

This paper focuses on input-to-state stability of a class of switched stochastic delayed systems which are drived by Levy noise. By multiple Lyapunov function and average dwell time approach, the sufficient conditions of the psi(lambda)(t)-weighted input-to-state stability can be obtained if all the subsystems are input-to-state stable. Then utilizing comparison principle and the method of constant variation, the sufficient criteria of the e(lambda t)-weighted input-to-state stability of the switched stochastic delayed systems containing both input-to-state stable subsystems and non-input-to-state stable subsystems can also be derived. Finally, an example is given to illustrate the effectiveness of the proposed results. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.