一阶时滞系统的鲁棒α-稳定性区域分析  

ANALYSIS FOR ROBUST α-STABILITY OF ONE ORDERDELAY DIFFERENTIAL EQUATIONS

作　　者：狄成宽[1] 

机构地区：[1]南京工程学院应用数学研究所,南京211167

出　　处：《动力学与控制学报》2010年第2期132-136,共5页Journal of Dynamics and Control

摘　　要：主要研究了滞后型一阶时滞系统的鲁棒α-稳定性,即参数在一定区间上任意取值,都能确保系统的平衡点的α-稳定性.给出了两种分析方法,其中一种基于Hayes第二定理,另一种基于LambertW函数.两种方法给出的结果是一致的.最后,几个实例说明了文中方法的有效性.The robust α-stability of first order retarded time-delay system was studied,in which the time-delay system is α-stability for all coefficients selected arbitrarily in the interval.Two ways were given for the α-stability analysis,one was based on Hayes Theorem,and the other was based on the Lambert W function.We have the same results by using these two ways respectively.Finally,some examples show that the methods work effectively.

关 键 词：时滞 α-稳定性 鲁棒稳定性 稳定性区域 LambertW函数 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]