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H∞ consensus is investigated for multi-agent systems with linear dynamics and impulsive effects in this paper. First of all, by considering the effects of distributed impulses, the model of linear multi-agent systems with impulsive effects and external disturbances has been obtained. Then, in view of the average impulsive interval and the Lyapunov stability theory, an algorithm has been given to solve...
This paper is concerned with pth moment exponential stability of stochastic delayed neural networks. By using the Lyapunov function method, some stability criteria of impulsive stochastic delayed systems are obtained, and these results are applied to the study on the stability criteria of stochastic delayed neural networks. It is shown that if the continuous stochastic delayed neural network is stable...
This paper aims to discuss the H∞ control problem of nonlinear stochastic switched systems in case where both global asymptotically stable in the mean (GASiM) subsystems and unstable subsystems coexist. An average dwell time (ADT) scheme is established to show us that the system is GASiM, if the activation time of GASiM subsystems is comparatively longer than that of unstable ones. Further, some conditions...
In this paper, the synchronization problem is investigated for a class of nonlinear delayed dynamical networks with heterogeneous impulsive effects. The intrinsic properties of heterogeneous impulses are that impulsive strengths are inhomogeneous in both time and space domains, i.e., the impulsive effect in each node is not only nonidentical from each other, but also time-varying at different impulsive...
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