Delay-dependent Stability Criteria for Systems with Differentiable Time Delays  

作　　者：ZHU Xun-Lin YANG Guang-Hong 

机构地区：[1]College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China [2]School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, P.R. China [3]Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China

出　　处：《自动化学报》2008年第7期765-771,共7页Acta Automatica Sinica

基　　金：Program for New Century Excellent Talents in University(NCET-04-0283);the Funds for Creative Research Groups of China(60521003);Program for Changjiang Scholars and Innovative Research Team in University(IRT0421);the State Key Program of National Natural Science Foundation of China(60534010);National Natural Science Foundatiou of China(60674021);the Funds of Ph.D.Program of Ministry of Education,China(20060145019)

摘　　要：This paper studies the problem of stability for continuous-time systems with differentiable time-varying delays.By using the information of delay derivative,improved asymptotic stability conditions for time-delay systems are presented.Unlike the previous methods,the upper bound of the delay derivative is taken into consideration even if this upper bound is larger than or equal to 1.It is proved that the obtained results are less conservative than the existing ones.Meanwhile,the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved.Numerical examples are given to illustrate the effectiveness and less conservatism of the obtained stability conditions.This paper studies the problem of stability for continuous-time systems with differentiable time-varying delays. By using the information of delay derivative, improved asymptotic stability conditions for time-delay systems are presented. Unlike the previous methods, the upper bound of the delay derivative is taken into consideration even if this upper bound is larger than or equal to 1. It is proved that the obtained results are less conservative than the existing ones. Meanwhile, the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved. Numerical examples are given to illustrate the effectiveness and less conservatism of the obtained stability conditions.

关 键 词：时间延迟系统 稳定性 连续时间系统 信息技术 自动化技术 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]