Global asymptotic stability analysis of discrete-time stochastic coupled systems with time-varying delay

摘要

This paper is concerned with the problem of global asymptotic stability for the discrete-time stochastic coupled systems with time-varying delay (DSCSTD). Based on graph theory and Lyapunov method, a systematic method is given for constructing a global Lyapunov function for the DSCSTD. Some novel stability criteria for the DSCSTD are obtained. Furthermore, to demonstrate the significance in practice, the theoretical results are applied to stochastic coupled oscillators. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results. The above work will provide a theoretical principle for subsequent controller design of the DSCSTD in future.