Impulsive control and synchronization of the Lorenz systems family

Xiaoqun Wu, Jun-an Lu, Chi Tse, Jinjun Wang and Jie Liu

Chaos, Solitons & Fractals, 2007, vol. 31, issue 3, 631-638

Abstract: In this paper, impulsive control and synchronization for the newly presented Lorenz systems family are systematically investigated. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled Lorenz systems family are established with varying impulsive intervals. In particular, several simple and easily verified criteria are derived with equivalent impulsive intervals. An illustrative example is also provided to show the effectiveness and feasibility of the impulsive control method.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:3:p:631-638

DOI: 10.1016/j.chaos.2005.10.017

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