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Zbl 1238.34120
Liu, Xinzhi
Impulsive synchronization of chaotic systems subject to time delay. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1320-e1327 (2009). ISSN 0362-546X

Summary: We study synchronization of coupled chaotic systems with time delay by means of impulsive control. Some criteria on synchronization of such chaotic systems are established utilizing quadratic Lyapunov functions and differential inequalities in the spirit of the well-known Razumikhin technique. Those criteria may be applied to chaos-based secure communication systems with transmission delay, where a driving system and a response system are employed. Simulation results are given to demonstrate the analytical results.

MSC 2000:: *34H10
37D45 Strange attractors, chaotic dynamics
34D06
34K37
37N35 Dynamical systems in control

Keywords: impulsive control; synchronization; time delay; stability

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