文献类型：期刊文献

英文题名：Stability Analysis for Systems With Time Delays via New Integral Inequalities

作者：Li, Zhichen[1];Huang, Congzhi[2];Yan, Huaicheng[3]

机构：[1]East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China;[2]North China Elect Power Univ, Sch Control & Comp Engn, Beijing 102206, Peoples R China;[3]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

年份：2018

卷号：48

期号：12

起止页码：2495

外文期刊名：IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

收录：;EI(收录号：20174004236879);WOS:【SCI-EXPANDED(收录号:WOS:000450617000043)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61304041 and Grant 61673178, in part by the Fundamental Research Funds for the Central Universities under Grant 2016ZZD03, in part by the Shanghai International Science and Technology Cooperation Project under Grant 15220710700, in part by the Shanghai Shuguang Project under Grant 16SG28, in part by the Shanghai Natural Science Foundation under Grant 17ZR1444700, in part by the State Key Laboratory of Robotics and System (HIT) under Grant SKLRS-2016-KF-03, and in part by the Outstanding Youth Science and Technology Innovation Team in Hubei Province under Grant T201710. This paper was recommended by Associate Editor W. He.

语种：英文

外文关键词：New integral inequalities; quadruple integral terms; stability; time-delay systems

摘要：This correspondence is concerned with the stability for interval time-delay systems. Triple integral inequalities without slack variables are proposed, which show more and more evident improvements as the degrees of intermediate polynomials increase. Driven by the proposed inequalities, the Lyapunov-Krasovskii functional with quadruple integrals and augmented vector consisting of triple integrals is constructed to derive less conservative stability criteria for time-delay systems. The numerical examples are provided to demonstrate the effectiveness of the proposed approaches.