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In this paper, impulsive containment control problem for networked harmonic oscillators is investigated with multiple leaders under directed network topology. Based on the graphic theory, matrix analysis theory and impulsive differential equation stable theory, a distributed impulsive containment control law is proposed, and the sufficient conditions which guarantee the convergence of the proposed...
This paper considers the synchronization problem of coupled harmonic oscillators with directed communication topologies. A distributed edge event-triggered control protocol is proposed with the target of saving computation and transmission resources. The inter-agent data sampling is triggered when the relative state errors of the edges exceed an exponentially decaying threshold function. By the tools...
In this paper we propose a distributed protocol for synchronization of directed coupled harmonic oscillators with local instantaneous interaction. We provide convergence analysis for such protocol over fixed and switching directed network topologies, respectively. It is shown that directed coupled harmonic oscillators can synchronize when coupling strengthen is less than a given threshold value and...
It is well-known that a network topology affects a system dynamics, it allows to use the system dynamics to identify topology. In this paper we consider two methods of system dynamics: network communities detection based on random walk and phase clustering behaviors of phase-coupled oscillators in complex networks. These methods may be used to evaluate robustness of communities detection and to make...
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