Uniqueness of consensus functions for time-delayed swarm systems with time-varying topologies

Jinying Wu, Jianxiang Xi, Xiaogang Yang and Guangbin Liu

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 781-787

Abstract: This paper shows that consensus functions for high-order linear swarm systems with time-varying interaction topologies and time delays are uniquely determined by initial states if interaction topologies are balanced. In addition, an explicit expression of the consensus function is presented, and the different influences of initial states of agents and protocols on the consensus function are determined respectively.

Keywords: Consensus function; Swarm system; Time-varying topology; Time delay (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:781-787

DOI: 10.1016/j.physa.2015.05.061

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