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• W3158992711 abstract "We consider finite and infinite-dimensional first-order consensus systems with time-constant interaction coefficients. For symmetric coefficients, convergence to consensus is classically established by proving, for instance, that the usual variance is an exponentially decreasing Lyapunov function. We investigate here the convergence to consensus in the non-symmetric case: we identify a positive weight which allows us to define a weighted mean corresponding to the consensus and obtain exponential convergence towards consensus. Moreover, we compute the sharp exponential decay rate." @default.
• W3158992711 created "2021-05-10" @default.
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• W3158992711 date "2022-05-02" @default.
• W3158992711 modified "2023-10-18" @default.
• W3158992711 title "Exponential Convergence Towards Consensus for Non-Symmetric Linear First-Order Systems in Finite and Infinite Dimensions" @default.
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• W3158992711 doi "https://doi.org/10.1137/21m1416102" @default.
• W3158992711 hasPublicationYear "2022" @default.
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