A new synchronization algorithm for delayed complex dynamical networks via adaptive control approach |
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| Authors: | Xiaoyong Guo Junmin Li |
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| Affiliation: | 1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India;1. School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, PR China;2. School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing 404100, PR China |
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| Abstract: | ![]()
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. |
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