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Partial state impulsive synchronization of a class of nonlinear systems. (English) Zbl 1170.34339
Summary: Impulsive synchronization of chaotic systems is an attractive topic and a number of interesting results have been obtained in recent years. However, all of these results on impulsive synchronization need to employ full states of the system to achieve the desired objectives. In this paper, impulsive synchronization that needs only part of system states is studied for a class of nonlinear system. Typical chaotic systems, such as Lorenz system, Chen’s system, and a 4D hyperchaotic system, are taken as examples. A new scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results show the effectiveness of the proposed synchronization scheme.
MSC:
34D05Asymptotic stability of ODE
34A37Differential equations with impulses
34C28Complex behavior, chaotic systems (ODE)