On the estimation of the consensus rate of convergence in graphs with persistent interconnections

Abstract : The aim of the current article is to establish myriad convergence rate estimates to consensus for time-varying graphs with persistent interaction. Several novel analysis methodologies for consensus protocols employing the notions of persistence of excitation and Lyapunov functions are provided. The estimates are compared with each other and existing literature. Numerical simulations on test examples are illustrated to support the theoretical findings.
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https://hal.archives-ouvertes.fr/hal-01744659
Contributor : Antonio Loria <>
Submitted on : Tuesday, March 27, 2018 - 3:19:51 PM
Last modification on : Tuesday, May 7, 2019 - 2:31:03 PM

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Nilanjan Roy Chowdhury, Srikant Sukumar, Mohamed Maghenem, Antonio Loria. On the estimation of the consensus rate of convergence in graphs with persistent interconnections. International Journal of Control, Taylor & Francis, 2018, 91 (1), pp.132 - 144. ⟨10.1080/00207179.2016.1272006⟩. ⟨hal-01744659⟩

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