This paper mainly tends to utilize [Formula: see text]-type function to investigate p-th moment and almost sure stability for a class of stochastic switched nonlinear systems. Based on the multiple Lyapunov functions approach, some sufficient conditions are derived to check the stability criteria of stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effe...

Certain classes of essentially nonlinear switched mechanical systems with one degree of freedom are investigated. The conditions are obtained under which, for the families of subsystems corresponding to switched systems, there exist common Lyapunov functions of the prescribed form. The fulfilment of these conditions provides the asymptotic stability of equilibrium positions of switched systems ...

In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a sufficient condition for synchronization of identical master-slave switched nonlinear chaotic systems and are expressed in the form of bilinear matrix inequalities (B...