An exponential stabilization of random impulsive control systems and its application to chaotic systems

Abstract

This paper addresses the problem of pth moment exponential stability and stabilization for random impulsive control systems. Some novel pth moment exponential stability and synchronization approaches are established based on the method of maximum and minimum eigenvalues by using the Lyapunov functions and Razumukhin technique. Finally, we show that the stability and synchronization behavior of random impulses are faster than the fixed time impulses. Some physical examples are given to verify the validity and usefulness of the results obtained.

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

“…In previous studies [31][32][33], the stochastic time delay systems with random impulsive effects were studied. Recently, previous works [34,35] discussed the robust mean square stability for linear and nonlinear uncertain systems under RIC, and in the literature [36,37], the authors showed RIC provides faster convergence time. To the best of our surveillance, there is no paper that analyses the stability results of random impulsive control USTDSs and the question about the stability analysis for random impulsive control USTDSs remains untouched so far.…”