Delayed consensus in mean-square of mass under Markov switching topologies and Brown noise. (English) Zbl 07922854
Summary: The delayed consensus in mean-square issue of nonlinear multi-agent systems (NMASs) under uncertain nonhomogeneous Markov switching (UNMS) topologies and Brown noise is investigated in this paper. Firstly, there are two delays \(d(t)\) and \(\tau \). \(d(t)\) represents the time-varying delay among followers. \(\tau\) stands for the delay between the leader and the followers, which is the delay in delayed consensus in mean-square. When \(\tau=0 \), the delayed consensus degenerates to identical consensus. Secondly, the random communication topologies are modeled as nonhomogeneous Markov switching topologies in which the transition rates (TRs) are partially or totally unknown. Further, communication noise is also considered, which is assumed to be Brown noise. Sufficient conditions of delayed consensus in mean-square for the systems are gained on account of qualitative and stability theory, theory of random differetntial equations and distributed control theory. Finally, the correctness of the results is verified through the example given.
Keywords:
nonlinear multi-agent systems; delayed consensus in mean-square; Markov switching topologies; Brown noiseReferences:
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