【作者】 张先明； 唐先华； 肖伸平；

【Author】 Zhang Xianming1,Tang Xianhua1,Xiao Shenping2 1.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,P.R.China 2.School of Metallurgy,Hunan University of Technology,Zhuzhou 412000,P.R.China

【机构】 中南大学数学科学与计算技术学院； 湖南工业大学冶金校区；

【摘要】 提出"时滞三分法"讨论线性时滞系统的时滞相关稳定性。将时滞区间等分成三部分,然后在每个子区间上定义一个Lyapunov泛函,从而获得在整个区间上的一个新的Lyapunov-Krasovskii泛函。利用Lyapunov-Krasovskii稳定性定理,针对时滞为常数,时变连续可微与不可微三种情况建立了一系列新的时滞相关条件。数值例子表明,这些条件较已有结论具有更小的保守性。更多还原

【Abstract】 This paper is concerned with the delay-dependent stability for linear systems with time delays.By decomposing the delay interval into three equidistance subintervals,on which different Lyapunov functionals are defined,a new Lyapunov-Krasvskii functional is then constructed.With its help,a series of new delay dependent stability criteria are established for both constant and time-varying delays.Some numerical examples are finally given to show that the obtained results are less conservative than those in the literature.更多还原