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Consensus problems for linear time-varying swarm systems with topology variances and multiple time delays

机译：具有拓扑变化和多重时滞的线性时变种群系统的共识问题

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摘要

Consensus problems for linear swarm systems with time-varying interaction topologies and multiple time delays are investigated.Several necessary and sufficient conditions for consensus are given,which transform consensus problems into asymptotically stable problems.Explicit expressions of consensus functions are presented on the basis of the different impacts of initial states of agents,initial states of protocols and time delays.Especially,it is shown that if interaction topologies associated with different time delays are balanced,then consensus functions are uniquely determined by initial states.Numerical simulations are presented to demonstrate theoretical results.
机译：研究了具有时变相互作用拓扑和多重时滞的线性种群系统的共识问题，给出了达成共识的几个充要条件，将共识问题转化为渐近稳定问题。给出了共识函数的显式表示。代理的初始状态，协议的初始状态和时延的不同影响。特别是，表明了如果平衡与不同时延相关的交互拓扑，则共识函数将由初始状态唯一地确定。结果。

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