Impulsive Systems and Control: Theory and Applications
Impulsive Systems and Control: Theory and Applications
Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
Computers & Mathematics with Applications
Networked synchronization control of coupled dynamic networks with time-varying delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief paper: Global stability analysis for stochastic coupled systems on networks
Automatica (Journal of IFAC)
Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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This paper investigates the stability problem of equilibrium for impulsive coupled systems on networks (ICSNs). We provide a systematic method that allows one to construct global Lyapunov functions for large-scale impulsive coupled systems from building blocks of individual vertex systems by using results from graph theory. Consequently, a new asymptotic stability principle and a new exponentially stable principle, which have a close relation to the topology property of the network, are given. As an application to the results, we employ the principle to a class of impulsive coupled systems, and then an easy-verified sufficient condition which guarantees the asymptotic stability and exponential stability are obtained.