Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation
This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equatio...
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doaj-6172ccd6b09447fc91eae2c01aed3e712021-03-30T14:59:40ZengIEEEIEEE Access2169-35362021-01-019346603466610.1109/ACCESS.2021.30616819361556Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference EquationQiang Xiao0https://orcid.org/0000-0001-8448-3721Yin Yang1https://orcid.org/0000-0002-0549-3882Tingwen Huang2https://orcid.org/0000-0001-9610-846XCollege of Science and Engineering, Hamad Bin Khalifa University, Doha, QatarCollege of Science and Engineering, Hamad Bin Khalifa University, Doha, QatarDepartment of Mathematics, Texas A&M University at Qatar, Doha, QatarThis paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equation on time scale, criteria of exponential stability of the system under consideration are obtained and they are robust to time delay and time scale to some extent. The theoretical results are applied to study stability for a class of linear singular system, and they are validated via two numerical examples.https://ieeexplore.ieee.org/document/9361556/Internally positive representationdifferential-difference equationtime scalebounded delaystability analysis |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qiang Xiao Yin Yang Tingwen Huang |
spellingShingle |
Qiang Xiao Yin Yang Tingwen Huang Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation IEEE Access Internally positive representation differential-difference equation time scale bounded delay stability analysis |
author_facet |
Qiang Xiao Yin Yang Tingwen Huang |
author_sort |
Qiang Xiao |
title |
Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
title_short |
Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
title_full |
Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
title_fullStr |
Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
title_full_unstemmed |
Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
title_sort |
internally positive representation to stability of delayed timescale-type differential- difference equation |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2021-01-01 |
description |
This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equation on time scale, criteria of exponential stability of the system under consideration are obtained and they are robust to time delay and time scale to some extent. The theoretical results are applied to study stability for a class of linear singular system, and they are validated via two numerical examples. |
topic |
Internally positive representation differential-difference equation time scale bounded delay stability analysis |
url |
https://ieeexplore.ieee.org/document/9361556/ |
work_keys_str_mv |
AT qiangxiao internallypositiverepresentationtostabilityofdelayedtimescaletypedifferentialdifferenceequation AT yinyang internallypositiverepresentationtostabilityofdelayedtimescaletypedifferentialdifferenceequation AT tingwenhuang internallypositiverepresentationtostabilityofdelayedtimescaletypedifferentialdifferenceequation |
_version_ |
1724180211831930880 |