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Topology-dependent stability of a network of dynamical systems with communication delays
2007
2007 European Control Conference (ECC)
unpublished
In this paper, we analyze the stability of a network of first-order linear time-invariant systems with constant, identical communication delays. We investigate the influence of both system parameters and network characteristics on stability. In particular, a non-conservative stability bound for the delay is given such that the network is asymptotically stable for any delay smaller than this bound. We show how the network topology changes the stability bound. Exemplarily, we use these results to
doi:10.23919/ecc.2007.7068977
fatcat:56g4jhwvuve7jl6ucz2ttqk5ni