This paper deals with the stability of (ρ,σ)-methods for stiff delay-differential-algebraic systems with one-index. In particular, we prove that (resp. strong) G(c,p,q)-algebraic stability of the (ρ,σ)-methods for ordinary differential equations (ODEs) leads to (resp. asymptotic) global stability of the corresponding methods for stiff delay-differential-algebraic systems.%本文涉及(ρ,σ)-方法应用于1-指标的非线性刚性延迟微分代数系统的稳定性.证明了求解常微分方程(ODEs)的(ρ,σ)-方法的(强)G(c,p,q)-代数稳定性导致相应延迟微分代数系统方法的(渐近)整体稳定性.
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