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In most research on impulsive control, the phenomenon of delay is often overlooked. However, in safetycritical applications involving the synchronization of two systems, transmission delays and information interference inevitably occur during the information transfer process. In this paper, we address the issue of delay synchronization between two systems. We derive stability criteria based on Lyapunov stability, impulsive control theory, and linear matrix inequalities. Subsequently, we design a three-stage impulsive switching controller with time windows. This controller achieves delay synchronization between two chaotic systems. Simulation results confirm the effectiveness of this method in stabilizing the systems.
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DOI: 10.1109/eei63073.2024.10695952
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