考虑线性多延迟微分代数方程θ-方法的渐近稳定性.通过分析相应的特征方程根的性质,给出多延迟微分代数方程解析解的渐近稳定的一个充分条件.进一步,应用特征方程根的性质,得出一个关于线性θ-方法与新θ-方法对方程解析解的渐近稳定性保持的充分条件:当θ∈(1/2,1]时,线性θ-方法与新θ-方法都是渐近稳定的.%Asymptotic stability of θ-methods for linear differential- algebraic equations with several de-lays is considered. By studying the roots of corresponding characteristic equation obtained by itsexponential solution, a sufficient condition is given for asymptotic stability of linear differential-algebraic equations with several delays. Furthermore, through the analysis of characteristic roots, a suf-ficient condition is obtained for the linear θ-method and the new θ-method to preserve the corre-sponding asymptotic stability of the system, i.e., the linear θ-method and the new θ-method areasymptotically stable if θ∈(1/2, 1].
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