H∞ synchronization of switched complex networks: A switching impulsive control method

Abstract In this paper, the H∞ global asymptotic synchronization problem is addressed for switched complex networks. A switching impulsive controller and a state-dependent switching signal are co-designed, which is underpinned by the multiple Lyapunov functions method. A sufficient condition guaranteeing the performance of H∞ global asymptotic synchronization is established, and does not require the H∞ global asymptotic synchronization issue of each subsystem solvable. The switching impulsive controller and the state-dependent switching controller are simple in structure and ease of implementation; which includes state-feedback part and impulsive control part. The effectiveness of the presented control method is attested by an example.

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