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Lag synchronization of chaotic systems with time-delayed linear terms via impulsive control

机译:脉冲控制的时滞线性项混沌系统的滞后同步

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In this paper, the lag synchronization of chaotic systems with time-delayed linear terms via impulsive control is investigated. Based on the stability theory of impulsive delayed differential equations, some sufficient conditions are obtained guaranteeing the synchronized behaviours between two delayed chaotic systems. Numerical simulations on time-delayed Lorenz and hyperchaotic Chen systems are also carried out to show the effectiveness of the proposed scheme. Note that under the scheme the chaotic system is controlled only at discrete time instants, and so it reduces the control cost in real applications.
机译:本文研究了具有脉冲控制的具有时滞线性项的混沌系统的滞后同步。基于脉冲时滞微分方程的稳定性理论,获得了保证两个时滞混沌系统之间同步行为的充分条件。还对时滞的Lorenz和超混沌Chen系统进行了数值模拟,以证明该方案的有效性。注意,在该方案下,混沌系统仅在离散的时刻进行控制,因此降低了实际应用中的控制成本。

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