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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
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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.
作者 狄成宽
机构地区 南京工程学院应用数学研究所
出处 《数学的实践与认识》 CSCD 北大核心 2011年第23期219-226,共8页 Mathematics in Practice and Theory
关键词 Lambert W函数 复系数 时滞动力系统 稳定性 LambertW function complex coefficients time-delay dynamic system, stability
分类号 O175.13 [理学—基础数学]
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参考文献16

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二级参考文献36

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数学的实践与认识
2011年 第23期

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