On the Stability Analysis of Systems of Neutral Delay Differential Equations

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Title: On the Stability Analysis of Systems of Neutral Delay Differential Equations
Authors: Liu, Muyang
Dassios, Ioannis K.
Milano, Federico
Permanent link: http://hdl.handle.net/10197/10582
Date: 24-Sep-2018
Online since: 2019-05-21T13:12:18Z
Abstract: This 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.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: Springer
Journal: Circuits, Systems, and Signal Processing
Volume: 38
Issue: 4
Start page: 1639
End page: 1653
Copyright (published version): 2018 Springer Science+Business Media
Keywords: Time delayDelay differential algebraic equations (DDAEs)Neutral time-delay differential equations (NDDEs)Eigenvalue analysisDelay-independent stable
DOI: 10.1007/s00034-018-0943-0
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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