Liu, MuyangMuyangLiuDassios, Ioannis K.Ioannis K.DassiosMilano, FedericoFedericoMilano2019-05-272019-05-272017 IEEE2017-11-01978-1-5386-1127-21553-572Xhttp://hdl.handle.net/10197/10652IECON 2017: 43rd Annual Conference of the IEEE Industrial Electronics Society, China National Convention Center, Beijing, China, 29 October - 1 November 2017This paper focuses on the small-signal stability analysis of systems modeled as Neutral Delay Differential Equations (NDDEs). These systems include delays in both the state variables and their first time derivatives. The proposed approach consists in descriptor model transformation that constructs an equivalent set of Delay Differential Algebraic Equations (DDAEs) of the original NDDE. The resulting DDAE is a non-index-1 Hessenberg form, whose characteristic equation consists of a series of infinite terms corresponding to infinitely many delays. Then, the effect on small-signal stability analysis is evaluated numerically through a Chebyshev discretization of the characteristic equations. Numerical appraisals focus on a variety of physical systems, including a population-growth model, a partial element equivalent circuit and a neutral delayed neural network.en© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Stability analysisNumerical stabilityPower system stabilityEigenvalues and eigenfunctionsMathematical modelDelaysNumerical modelsConference Publication5644564910.1109/IECON.2017.82169782019-05-22SFI/15/IA/3074SFI/09/SRC/E1780PCIG14-GA-2013-630811https://creativecommons.org/licenses/by-nc-nd/3.0/ie/