About disconnected topologies and synchronization of homogeneous nonlinear agents over switching networks

Abstract : In this paper, we study the problem of networks on nonlinear oscillators when communication topologies are disconnected. In the first part of this paper, we show that the high-gain design procedure succeeds in achieving clustered consensus when disconnected topologies occur. In the second part, we study a network of nonlinear oscillators when the topology is switching between sets of disconnected and connected topologies. By a Lyapunov analysis, we prove that if disconnected topologies last for a limited amount of time and the switching law for connected topologies fulfills an average dwell-time condition, synchronization is achieved.
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International Journal of Robust and Nonlinear Control, Wiley, 2017, 50 (5), pp.655 - 661. 〈10.1002/rnc.3910〉
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Giacomo Casadei, Alberto Isidori, Lorenzo Marconi. About disconnected topologies and synchronization of homogeneous nonlinear agents over switching networks. International Journal of Robust and Nonlinear Control, Wiley, 2017, 50 (5), pp.655 - 661. 〈10.1002/rnc.3910〉. 〈hal-01587668〉

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