电子学报2018，Vol.46Issue(4)：975-983,9.DOI:10.3969/j.issn.0372-2112.2018.04.028
区间变时滞不确定系统鲁棒稳定性分析
Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay
摘要
Abstract
In this paper,the problem of robust stability analysis for a class of linear uncertain systems with interval time-varying delay is studied.In order to develop a less conservative stability condition,a Lyapunov-Krasovskii functional comprising quadruple-integral term is introduced.A novel delay dependent stability criterion in terms of linear matrix inequalities (LMIs) is given by using delay-central-point (DCP) method and reciprocally convex combination technique,which is derived by integral inequality method.Compared with the existing literature,this criterion can greatly reduce the complexity of theoretical derivation and computation.Finally,three well-known numerical comparative examples are given to verify the superiority of the proposed approach in reducing the conservation of conclusion.关键词
区间变时滞/Lyapunov-Krasovskii (L-K)泛函/鲁棒稳定/凸组合技术/四重积分Key words
interval time-varying delay/Lyapunov-Krasovskii functional/robust stability/reciprocally convex combination/quadruple-integral term分类
信息技术与安全科学引用本文复制引用
吴玉彬,张合新,惠俊军,李国梁,周鑫,杨田光..区间变时滞不确定系统鲁棒稳定性分析[J].电子学报,2018,46(4):975-983,9.基金项目
国家自然科学基金(No.61374120) （No.61374120）
