Research ArticleOpen AccessGoogle Scholar indexed
Feedback Chaotic Synchronization with Disturbances
School of Information Engineering, Dalian University, Dalian, China
School of Information Engineering, Dalian University, Dalian, China
School of Information Engineering, Dalian University, Dalian, China
- 1 School of Information Engineering, Dalian University, Dalian, China
- 2 School of Information Engineering, Dalian University, Dalian, China
- 3 School of Information Engineering, Dalian University, Dalian, China
International Journal of Modern Nonlinear Theory and Application·Volume 06 (2017)·Pages 1–10·Published 11 January 2017·DOI10.4236/ijmnta.2017.61001
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Abstract
Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are bounded, the synchronization error can be ensured to approach to and stay within the pre-specified bound which can be arbitrarily small. Some typical chaotic systems with different types of nonlinearity, such as Lorenz system and the original Chua’s circuit, are used for detailed description. The simulation results show the feasibility of the method.
KeywordsLyapunov Stability TheoremFeedback SynchronizationParameters PerturbationExternal DisturbancesRobustness
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