Asymptotic stability in probability for discrete‐time stochastic coupled systems on networks with multiple dispersal
Pengfei Wang, Yu Hong, Huan Su · International Journal of Robust and Nonlinear Control · 2017
Summary In this paper, we consider the asymptotic stability in probability for discrete‐time stochastic coupled systems on networks with multiple dispersal (DSCSM). We begin with modeling a DSCSM on multiple digraphs and consequently construct a global Lyapunov function based on the topological structure of multiple digraphs. Using the Lyapunov method combined with the graph theory and the supermartingale convergence theorem, several stability criteria for DSCSM are derived. In what follows, the given results are utilized to analyze a stochastic coupled oscillator model. Finally, 2 numerical examples are also given to demonstrate the feasibility of the proposed results.