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Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems

✍ Scribed by Jianbing Hu; Yan Han; Lingdong Zhao


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
646 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis


This work presents a direct approach to design stabilizing controller based on a special matrix structure to synchronize chaotic systems and extends the approach to synchronize fractional chaotic systems. With this method, chaos synchronization is implemented in Lorenz chaotic systems with known parameters and the same to Lorenz chaotic systems with unknown parameters. Especially, fractional Lorenz chaotic system with unknown parameters is synchronized by fractional Chen chaotic system too. Numerical simulations confirm the effectiveness of the method proposed.