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Zbl 1217.37033
Run-Zi, Luo
Impulsive control and synchronization of a new chaotic system. (English)
[J] Phys. Lett., A 372, No. 5, 648-653 (2008). ISSN 0375-9601

Summary: This Letter derives some sufficient conditions for the stabilization and synchronization of the new chaotic system proposed by {\it G. Y. Qi} et al. [``Analysis of a new chaotic system'', Physica A 352, No. 2--4, 295--308 (2005)] via an impulsive method. Some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled new chaotic system are obtained with varying impulsive intervals. In particular, some simple and easily verified criteria are established with equivalent impulsive intervals. An illustrative example is finally included to visualize the effectiveness and feasibility of the developed methods.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34H15
34D05 Asymptotic stability of ODE
34D06
34D20 Lyapunov stability of ODE

Keywords: generalized synchronization; impulsive control; chaotic systems

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