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This study investigates the practical synchronisation of networked Lagrangian systems with a directed graph by pinning adaptive control. Some simple yet general algebraic criteria are proposed based on practical stability theory on dynamical systems, and the proposed criteria ensure that all the robotic agents described by Lagrangian dynamics can achieve desired practical synchronisation. The main...
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...
The present paper deals with the issues of robust impulsive synchronization of uncertain complex delayed dynamical networks from the view of dynamics and control. The prime characteristic of the model considered here is that the coupling functions can be linear or nonlinear, even unknown, which can well describe practical architectures of more realistic networks. Based on impulsive stability theory...
This paper proposes several locally and globally adaptive synchronization criterions for uncertain complex dynamical networks. Especially, our hypotheses and designed adaptive controllers for network synchronization are rather simple in form. Furthermore, numerical simulations are used to illustrate the effectiveness of our synchronization criterions
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