东南大学学报（自然科学版）2012，Vol.42Issue(z1)：92-97,6.DOI:10.3969/j.issn.1001-0505.2012.S1.020
带时变时滞的不确定离散奇异系统鲁棒稳定性分析
Analysis of robust stability for uncertain discrete singular systems with time-varying delay
摘要
Abstract
In order to decrease the conservatism of the stability conditions for uncertain discrete singular systems with interval time-varying delay, a delay partitioning technique is employed to obtain a new description of the singular system first, and a new subinterval-dependent Lyapunov functional is constructed in comprehensive consideration of all subintervals. Then, based on the delay-dependent linear matrix inequality (LMI) method, the obtained result is described into easily solvable strict LMI. By solving the obtained LMI with Matlab toolbox, the condition is obtained for the nominal system to be regular, causal, and mean-square stable. Furthermore, the obtained result is also extended to the uncertain case, and the robust stability for the uncertain singular system is guaranteed. Finally, numerical examples are given to show the effectiveness of the proposed theorems. Compared with the existing results, the theorems in this paper are with much less conservatism.关键词
时滞分割技术/鲁棒稳定/奇异系统/不确定性Key words
delay partitioning technique/ robust stability/ singular systems/ uncertainty分类
信息技术与安全科学引用本文复制引用
翁发禄,毛维杰..带时变时滞的不确定离散奇异系统鲁棒稳定性分析[J].东南大学学报（自然科学版）,2012,42(z1):92-97,6.基金项目
国家自然科学基金资助项目(61074045,60721062). （61074045,60721062）
