Continuous-Time Consensus under Persistent Connectivity and Slow Divergence of Reciprocal Interaction Weights

DOI10.1137/11083438XzbMath1272.93010arXiv1105.2755OpenAlexW2022705484MaRDI QIDQ2848598

Antoine Girard, Samuel Martin

Publication date: 26 September 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2755

zbMATH Keywords

digraphLyapunov functionsmultiagent systemscontinuous time systemsconcensuspersistent connectivityreciprocal interaction weights

Mathematics Subject Classification ID

Decentralized systems (93A14) Control/observation systems governed by ordinary differential equations (93C15) Agent technology and artificial intelligence (68T42)

Related Items (10)

Persistence based convergence rate analysis of consensus protocols for dynamic graph networks ⋮ On the estimation of the consensus rate of convergence in graphs with persistent interconnections ⋮ Frozen state conditions for exponential consensus of time-varying cooperative nonlinear networks ⋮ Convergence of max-min consensus algorithms ⋮ A Unified Framework for Continuous-Time Unconstrained Distributed Optimization ⋮ A new condition for asymptotic consensus over switching graphs ⋮ Criteria for asymptotic clustering of opinion dynamics towards bimodal consensus ⋮ Necessary and sufficient conditions for consensus in nonlinear monotone networks with unilateral interactions ⋮ New cut-balance conditions in networks of clusters ⋮ A Petri net approach to consensus in networks with joint-agent interactions

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