LambertW函数对一阶复时滞动力系统的稳定性分析  

Analysis for Stability of One Order Delay Dynamic System with Complex Coefficients Via Lambertw Function

作　　者：狄成宽[1] 

机构地区：[1]南京工程学院应用数学研究所,江苏南京211167

出　　处：《数学的实践与认识》2011年第23期219-226,共8页Mathematics in Practice and Theory

摘　　要：Lambert W函数具有的一些性质以及现今成熟的数学软件Maple等使得它能很好地应用于时滞微分方程的稳定性判别中.通过应用Lambert W函数对一阶复系数时滞微分方程渐近稳定性的判别命题,分析了一类参数反馈控制复系数时滞微分方程的稳定性,得到了更加精细的结果.相比已往的方法,新方法更简单、计算更方便并能快速有效的给出判定结果.Lambert W function has some mature nature, so it is widely used to study the stability of delay differential equations.Using Lambert W discriminant function, we give necessary and sufficient conditions the first order delay differential equations with complex coefficients for asymptotic stability.Analysis stability of a complex delay differential equation with parameter feedback controh The new method is more simple and can deternfine the outcome quickly and effectively compared to the previous method.

关 键 词：Lambert W函数 复系数 时滞动力系统 稳定性 

分 类 号：O175.13[理学—数学]