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Zbl 1142.93029
Wu, Xiaoqun; Lu, Jun-An; Tse, Chi K.; Wang, Jinjun; Liu, Jie
Impulsive control and synchronization of the Lorenz systems family. (English)
[J] Chaos Solitons Fractals 31, No. 3, 631-638 (2007). ISSN 0960-0779

Summary: 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.

MSC 2000:: *93D20 Asymptotic stability of control systems
93C15 Control systems governed by ODE
93C10 Nonlinear control systems
34D20 Lyapunov stability of ODE
37D45 Strange attractors, chaotic dynamics

Keywords: asymptotic stability; chaotic systems; Lorenz attractor

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Zentralblatt MATH Berlin [Germany]