,Agreement coordination for second-order multi-agent systems with disturbances

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This paper is devoted to the study of consensus problems for the second-order multi-agent systems with exteal disturbances, switching topology and communication time-delay. Firstly, we perform a model transformation and separate the agreement states from the disagreement states. Secondly, according to this system, we derive a sufficient condition for consensus problem without disturbances by using the Lyapunov-based approach. Farthermore, we give a design criterion in terms of bilinear matrix inequality for the control protocol in the presence of disturbances. Finally,numerical simulations are provided to show the effectiveness of our strategies.
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