| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759290 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 9 Pages |
An adaptive control strategy is developed for complex delayed dynamical networks with time-varying coupling strength and time-varying delayed. Using the Lyapunov stability theory, an adaptive control is designed to ensure the asymptotic convergence of the synchronization error, a sufficient condition of the synchronization is obtained. By constructing a Lyapunov–Krasovskii-like composite energy function, we prove the stability of the closed-loop system and the convergence of the error. An example of the complex network is finally used to verify the proposed theoretical result.
► We investigate a new model of complex dynamical networks. ► The adaptive controllers are designed based on Lyapunov stability theory. ► Each node’s coupling strength is time-varying. ► The synchronization effect is affected by the control gain.
