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In this brief, the issues of pinning synchronization in a coupled delayed directed dynamical network are investigated via impulsive control, and a simple yet generic criterion of pinning impulsive synchronization for such coupled network is derived analytically. It is shown that a single impulsive controller can always pin a given coupled delayed directed network to a desired homogenous solution....
This paper is concerned with the synchronization problem of networked harmonic oscillators in undirected networks with communication delays and controller failures. It is assumed that each oscillator updates its state based on the sampled velocity information relative to its neighbors at discrete moments. A distributed algorithm is proposed in virtue of time driven digital samplers and controllers...
This paper deals with the synchronization of networked harmonic oscillators under nonlinear protocols. Some convergence analysis for such networked harmonic oscillators, both without and with a leader, are provided by means of algebraic graph theory, matrix theory and Lyapunov stability theory on dynamical systems. We show that the networked harmonic oscillators can achieve synchronization under nonlinear...
This brief paper considers synchronization dynamics in networked mass-spring-damper (MSD) oscillator systems with nonlinear spring interaction. Based on stability theory on dynamical system, algebraic graph theory, and some matrix theory, an exact solution of synchronization state for such networked oscillator systems is derived analytically. It is shown that the networked MSD oscillator systems can...
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