Deakin University
Browse

Stability analysis of nonlinear neutral functional differential equations

Version 2 2024-06-03, 11:42
Version 1 2018-01-11, 14:08
journal contribution
posted on 2024-06-03, 11:42 authored by PHA Ngoc, Hieu TrinhHieu Trinh
We present a novel approach to analyze the exponential stability of nonlinear neutral functional differential equations. Our approach is simple and based on a system transformation, the comparison principle, and the spectral properties of Metzler matrices. Consequently, we derive some new explicit criteria for the exponential stability of general nonlinear neutral functional differential equations. It is important to note that our approach leads to both delay-dependent and delayindependent stability criteria. Several illustrative examples with simulations and a brief comparison between the obtained results with some existing results in the literature are presented.

History

Journal

SIAM Journal on Control and Optimization

Volume

55

Pagination

3947-3968

Location

Philadelphia, Pa.

ISSN

0363-0129

eISSN

1095-7138

Language

English

Publication classification

C Journal article, C1 Refereed article in a scholarly journal

Copyright notice

2017, Society for Industrial and Applied Mathematics

Issue

6

Publisher

SIAM PUBLICATIONS