浙江大学学报（理学版）2013，Vol.40Issue(4)：411-415,5.DOI:10.3785/j.issn.1008-9497.2013.04.011
一类区间时变时滞非线性广义系统的稳定性准则
Stability criteria for a class of nonlinear singular systems with interval time-varying delays
摘要
Abstract
The stability problem is investigated for a class of nonlinear singular systems with interval time-varying delays.Based on Lyapunov stability theory,using linear matrix inequality and free-weighting matrix approach,a new delay-dependent stability criterion for the nonlinear singular systems to be regular,impulse free and uniformly asymptotically stable is proposed.The result shows that it can be used to effectively judge the stability of nonlinear singular systems with interval time-varying delay,meanwhile,it has less conservatism than some existing ones,which is demonstrated by numerical examples.关键词
非线性广义系统/区间时变时滞/稳定性/线性矩阵不等式Key words
nonlinear singular systems/ interval time-varying delay/ stability/ linear matrix inequality (LMI)分类
数理科学引用本文复制引用
焦建民..一类区间时变时滞非线性广义系统的稳定性准则[J].浙江大学学报（理学版）,2013,40(4):411-415,5.基金项目
国家自然科学基金资助项目(No.11071193) （No.11071193）
陕西省教育厅科研计划项目(No.2013JK0601) （No.2013JK0601）
宝鸡文理学院重点科研项目(No.ZK11044). （No.ZK11044）
