Back to Search Start Over

On the Stability Analysis of Systems of Neutral Delay Differential Equations.

Authors :
Liu, Muyang
Dassios, Ioannis
Milano, Federico
Source :
Circuits, Systems & Signal Processing; Apr2019, Vol. 38 Issue 4, p1639-1653, 15p
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0278081X
Volume :
38
Issue :
4
Database :
Complementary Index
Journal :
Circuits, Systems & Signal Processing
Publication Type :
Academic Journal
Accession number :
135308038
Full Text :
https://doi.org/10.1007/s00034-018-0943-0