Liu, MuyangMuyangLiuDassios, Ioannis K.Ioannis K.DassiosMilano, FedericoFedericoMilano2019-05-212019-05-212018 Sprin2018-09-24Circuits, Systems, and Signal Processing0278-081Xhttp://hdl.handle.net/10197/10582This paper focuses on the stability analysis of systems modeled as neutral delay differential equations (NDDEs). These systems include delays in both the state variables and their time derivatives. The proposed approach consists of a descriptor model transformation that constructs an equivalent set of delay differential algebraic equations (DDAEs) of the original NDDEs. We first rigorously prove the equivalency between the original set of NDDEs and the transformed set of DDAEs. Then, the effect on stability analysis is evaluated numerically through a delay-independent stability criterion and the Chebyshev discretization of the characteristic equations.enThis is a post-peer-review, pre-copyedit version of an article published in Circuits, Systems, and Signal Processing. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00034-018-0943-0Time delayDelay differential algebraic equations (DDAEs)Neutral time-delay differential equations (NDDEs)Eigenvalue analysisDelay-independent stableJournal Article3841639165310.1007/s00034-018-0943-02019-05-13SFI/15/IA/3074https://creativecommons.org/licenses/by-nc-nd/3.0/ie/