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- W4387262967 abstract "AbstractThe AIMD algorithm, which underpins the Transmission Control Protocol (TCP) for transporting data packets in communication networks, is perhaps the most successful control algorithm ever deployed. Recently, its use has been extended beyond communication networks, and successful applications of the AIMD algorithm have been reported in transportation, energy, and mathematical biology. A very recent development in the use of AIMD is its application in solving large-scale optimization and distributed control problems without the need for inter-agent communication. In this context, an interesting problem arises when multiple AIMD networks are coupled in some sense (usually through a nonlinearity). The purpose of this note is to prove that such systems in certain settings inherit the ergodic properties of individual AIMD networks. This result has important consequences for the convergence of the aforementioned optimization algorithms. blackThe arguments in the paper also correct conceptual and technical errors in (1).Keywords: Stochastic ControlNetwork ControlErgodicityHybrid SystemDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also." @default.
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- W4387262967 date "2023-10-02" @default.
- W4387262967 modified "2023-10-18" @default.
- W4387262967 title "On Unique Ergodicity Of Coupled AIMD Flows" @default.
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- W4387262967 doi "https://doi.org/10.1080/00207179.2023.2259016" @default.
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