摘要：In this work, we investigate theasymptotic stabilityof LTI differential commensurate time-delay systems whose dynamics are defined in the frequency domain by quasi-polynomials of the formf(S, T) = Σmj=0pj(s) e-jTS. We propose a new approach for studying the stability with respect to the delay: we determine the asymptotic behavior of the roots of the quasi-polynomial near to the critical pairs off(s,T) by analysing the intersection of an associated algebraic space curve with sufficiently refined 3D real boxes. Compared to the existing methods, our method does not require any Puiseux series computation.
