Limited Impulsive Control of Time-Delay Multiagent Systems With Packet Loss and Parameter Mismatch

This article investigates the leader-following consensus of nonlinear time-delay multiagent system under impulsive control with simultaneous consideration of packet loss and parameter mismatch. Specifically, the inherent parameter mismatch between the leader's dynamics and followers' dynamics is explicitly addressed. To mitigate communication frequency, two novel impulsive control protocols are developed: 1) a pure impulsive scheme for theoretical analysis and 2) a limited impulsive strategy for practical implementation. Furthermore, an auxiliary function is introduced to characterize packet loss phenomena during information transmission, ensuring alignment with real-world communication constraints. By integrating impulsive control theory with reverse average dwell-time analysis, sufficient consensus criteria are rigorously derived for multiagent system with time delays and heterogeneous parameters. Finally some numerical simulations validate the effectiveness of the proposed control framework, demonstrating its capability to achieve consensus under practical communication imperfections.