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This paper investigates the coupled-group consensus problem of second-order multi-agent systems subjected to communication delay, and we adopt a linear synchronously-coupled consensus protocol under the assumption that the sum of each agent's adjacent weights to the agents in the other sub-group is zero in the interconnection topology. Based on Lyapunov-Krasovskii functional, delay-dependent sufficient...
In this paper, the leader-following consensus problem is investigated for the second-order multi-agent systems with communication delay. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions, consensus conditions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays and static interconnection topology converging to the...
The consensus algorithm with a static leader is proposed to solve the consensus problem of the discrete-time second-order multi-agent systems with communication delays. Based on the generalized Nyquist criterion and the Gerschgorin disc theorem, the sufficient conditions are obtained for the system converging to the leader's states asymptotically. With the interconnection topology composed of the...
In this paper, the consensus problem is investigated for the second-order multi-agent systems with sampled information and input delay. Based on the frequency domain analysis, sufficient and necessary consensus conditions are obtained for the sampled-data system converging to the stationary consensus and the dynamical consensus respectively. The consensus condition depends on not only the input delay,...
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