自动化学报2008，Vol.34Issue(7)：765-771,7.
时滞项可微系统的时滞依赖的稳定性条件
Delay-dependent Stability Criteria for Systems with Differentiable Time Delays
摘要
Abstract
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
Delay-dependent stability condition/linear matrix inequality (LMI)/time-delay systemsKey words
Delay-dependent stability condition/linear matrix inequality (LMI)/time-delay systems分类
信息技术与安全科学引用本文复制引用
朱训林,杨光红..时滞项可微系统的时滞依赖的稳定性条件[J].自动化学报,2008,34(7):765-771,7.基金项目
Supported by 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 Innoative Research Team in University (IRT0421), the State Key Program of National Natural Science Foundation of China (60534010), National Natural Science Foundation of China (60674021) and the Funds of Ph. D. Program of Ministry of Education, China (20060145019) （NCET-04-0283）
