Title | ||
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Adaptive complete synchronization of the noise-perturbed two bi-directionally coupled chaotic systems with time-delay and unknown parametric mismatch |
Abstract | ||
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In this paper, we design an adaptive-feedback controller to synchronize a class of noise-perturbed two bi-directionally coupled chaotic systems with time-delay and unknown parametric mismatch. Based on invariance principle of stochastic time-delay differential equations, some sufficient conditions of adaptive complete synchronization are given. Comparing with other papers, here we consider the effect of internal noise, time-delay and parametric mismatch in the synchronized process. As the illustrative examples, the famous Lorenz system and Rossler system are considered here. In order to validate the proposed scheme, numerical simulations are performed, and the numerical results show that our scheme is very effective. |
Year | DOI | Venue |
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2009 | 10.1016/j.amc.2009.03.049 | Applied Mathematics and Computation |
Keywords | Field | DocType |
parametric mismatch,complete synchronization,time-delay,adaptive control,bi-directionally coupling,noise-perturbed,numerical simulation,differential equation,invariance principle | Differential equation,Control theory,Synchronization,Control theory,Integral equation,Lorenz system,Parametric statistics,Adaptive control,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
213 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
2 | 0.44 | 4 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yuzhu Xiao | 1 | 2 | 0.78 |
Wei Xu | 2 | 102 | 41.51 |
Sufang Tang | 3 | 2 | 0.78 |
Xiuchun Li | 4 | 11 | 2.53 |