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Mean square function synchronization of chaotic systems with stochastic effects |
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| Authors: | Yuhua Xu Bing Li Wuneng Zhou Jian’an Fang |
| Institution: | 1. Department of Mathematics and Finance, Yunyang Teachers?? College, Hubei, Shiyan, 442000, P.R. China 2. Computer School, Wuhan University, Wuhan, 430079, P.R. China 3. NOSTA, The Ministry of Science and Technology of China, GPO Box 2143, Beijing, 100045, P.R. China 4. College of Information Science and Technology, Donghua University, Shanghai, 201620, P.R. China |
| Abstract: | In this paper, we give the definition of mean square function synchronization. Secondly, we investigate mean square function synchronization of chaotic systems with stochastic perturbation and unknown parameters. Based on the Lyapunov stability theory, inequality techniques, and the properties of the Weiner process, the controller, and adaptive laws are designed to ensure achieving stochastic synchronization of chaotic systems. A sufficient synchronization condition is given to ensure the chaotic systems to be mean-square stable. Furthermore, a numerical simulation is also given to demonstrate the effectiveness of the proposed scheme. |
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