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Dynamical consensus seeking of second-order multi-agent systems based on delayed state compensation. (English) Zbl 1255.93010
Summary: By introducing delayed state compensation into the normal asynchronously-coupled consensus algorithm, a new consensus algorithm is constructed to solve the dynamical consensus problem of second-order multi-agent systems with communication delay. Based on frequency-domain analysis, a sufficient and necessary condition, which depends on the communication delay and the control parameters, is obtained for two coupled second-order dynamic agents converging to the dynamical consensus, and it is proved that the proposed algorithm can tolerate higher communication delay than the synchronously-coupled consensus algorithm. According to linear fractional transformation and the small-gain theorem, sufficient conditions are gained for second-order multi-agent systems with communication delay under a general digraph. Simulation results illustrates the correctness of our method.
##### MSC:
 93A14 Decentralized systems 68T42 Agent technology (AI aspects) 93C80 Frequency-response methods
##### References:
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