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Zbl 1115.93347
Xie, Wenxiang; Wen, Changyun; Li, Zhengguo
Impulsive control for the stabilization and synchronization of Lorenz systems. (English)
[J] Phys. Lett., A 275, No. 1-2, 67-72 (2000). ISSN 0375-9601

Summary: This Letter derives some sufficient conditions for the stabilization and synchronization of Lorenz systems via impulsive control with varying impulsive intervals. Compared with the existing results, these conditions are less conservative in that the Lyapunov function is only required to be nonincreasing along a subsequence of switchings, instead of the whole sequence of switchings. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained.

MSC 2000:: *93D15 Stabilization of systems by feedback
37N35 Dynamical systems in control

Keywords: impulsive control; impulsive synchronization; Lorenz systems

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