文献类型：期刊文献

英文题名：Stability analysis of linear systems with time-varying delay via intermediate polynomial-based functions

作者：Li, Zhichen[1];Yan, Huaicheng[1,2];Zhang, Hao[2];Peng, Yan[3];Park, Ju H.[4];He, Yong[5]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Tongji Univ, Shanghai Inst Intelligent Sci & Technol, Shanghai 200092, Peoples R China;[3]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China;[4]Yeungnam Univ, Dept Elect Engn, Gyongsan 38541, South Korea;[5]China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

年份：2020

卷号：113

外文期刊名：AUTOMATICA

收录：;EI(收录号：20195207943474);WOS:【SCI-EXPANDED(收录号:WOS:000514216600063)】；

基金：This work is supported by National Natural Science Foundation of China (61803159, 61673178, 61773289, 61922063), Shanghai Chenguang Project (18CG31), Shanghai Shuguang Project (18SG18), Shanghai Sailing Program (18YF1406400), Program of Shanghai Academic Research Leader (19XD1421000), Shanghai Natural Science Foundation (18ZR1409600, 17ZR1444700, 17ZR1 445800), China Postdoctoral Science Foundation (2019T120311, 2018M032042), Fundamental Research Funds for the Central Universities (222201814040), and the Shanghai International Science and Technology Cooperation Project (18510711100).

语种：英文

外文关键词：Time delay systems; Stability analysis; Fractional order intermediate polynomial; Variable parameters

摘要：This note is devoted to stability analysis for linear system with time-varying delay. By advisably introducing slack matrices, novel fractional order intermediate polynomial-based functions (IPFs) are proposed. Then, the stability condition is derived for the time delay system. From configuration on fractional order polynomials, the relationships among system states are taken into account and consolidated via slack variables, and the characteristics for integral inequality are synthetically considered, while avoiding higher order time delays. More remarkably, adjusting tunable parameters also contributes to reduction of conservatism. The comparisons of computational complexity and stability region on a well known numerical example are provided to validate the advantages of the resulting stability criterion. (C) 2019 Elsevier Ltd. All rights reserved.