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Stabilization of stochastic complex networks with delays based on completely aperiodically intermittent control
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-06-19 , DOI: 10.1016/j.nahs.2021.101074
Ying Zhai , Pengfei Wang , Huan Su

This paper investigates the stabilization problem of stochastic complex networks with delays via completely aperiodically intermittent control. Superior to most existing results based on aperiodically intermittent control strategy that can only satisfy quasi periodicity, our proposed control scheme can render the lower bound of certain control intervals to be arbitrarily small, the upper bound of certain control periods to be very large and the proportion of rest intervals to be any value in (0,1). Thus, the constraints are loosened and the conservativeness is reduced compared with the existing related results. This is accomplished by presenting novel concepts, that is, average control rate and average control period. Under the designed controller, the studied networks are stable with small time delays and large time delays, respectively. Finally, the simulation results are provided to verify the effectiveness of the proposed control scheme.



中文翻译:

基于完全非周期性间歇控制的时滞随机复杂网络的稳定性

本文通过完全非周期性间歇控制研究了具有延迟的随机复杂网络的镇定问题。优于大多数基于只能满足准周期性的非周期性间歇控制策略的现有结果,我们提出的控制方案可以使某些控制区间的下限任意小,某些控制周期的上限非常大,比例休息间隔为 (0,1) 中的任何值。因此,与现有的相关结果相比,约束被放松,保守性降低。这是通过提出新概念来实现的,即平均控制率和平均控制周期。在设计的控制器下,所研究的网络分别具有小时延和大时延的稳定。最后,

更新日期:2021-06-19
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