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.
|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 delay; Delay differential algebraic equations (DDAEs); Neutral time-delay differential equations (NDDEs); Eigenvalue analysis; Delay-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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