Adaptive–impulsive synchronization in drive–response networks of continuous systems and its application

Abstract Based on the comparison theorem for the stability of impulsive control system, adaptive–impulsive synchronization in drive–response networks of continuous systems with time-delay and non-time-delay is investigated. And the continuous control input, the simple updated laws and a linear impulsive controller are proposed. Moreover, two numerical examples are presented to verify the effectiveness and correctness of the theorem, using the energy resource system and Lu's system as the nodes of the networks.

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