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SCIENCE CHINA Information Sciences, Volume 61, Issue 12: 122201(2018) https://doi.org/10.1007/s11432-017-9318-2

IQC based robust stability verification for a networked system with communication delays

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  • ReceivedSep 26, 2017
  • AcceptedNov 30, 2017
  • PublishedNov 22, 2018

Abstract

In this paper, we consider robust stability analysis of a networked system with uncertain communication delays.Each of its subsystems can have different dynamics, and interconnections among its subsystemsare arbitrary. It is assumed that there exists an uncertain but constant delay in each communicationchannel. Using the so called integral quadratic constraint (IQC) technique, a sufficient robust stability conditionis derived utilizing a sparseness assumption of the interconnections, and a set of decoupled robustness conditionsare further derived which depend only on parameters of each subsystem, the subsystem connection matrix (SCM) and theselected IQC multipliers. These characteristics result in an evident improvement of computational efficiency forrobustness verification of the networked system with delay uncertainties, which is illustrated by some numerical results.


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573209, 61733008).


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