Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

Exponential Stability of the Genetic Regulatory Networks with Delay on Time Scales

Authors
Boyu Wang, Yaru Zhao, Jiamin Li, Jinxiang Cai, Honghua Bin, Zhenkun Huang
Corresponding Author
Boyu Wang
Available Online May 2017.
DOI
10.2991/ammsa-17.2017.72How to use a DOI?
Keywords
genetic regulatory networks; exponential stability; fixed point theorem; on time scales
Abstract

Genetic regulatory networks with delay on time scales is considered in this paper. Some sufficient conditions are obtained to ensure the existence and exponential stability of a unique equilibrium of Genetic regulatory networks. The app-roaches are based on constructing Lyapunov functionals, the theory of calculus on time scales and the well-known Brouwer's fixed point theorem. The obtained results are general and can be applied to corresponding continuous-time and discrete-time gen-etic regulatory network.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
Series
Advances in Intelligent Systems Research
Publication Date
May 2017
ISBN
10.2991/ammsa-17.2017.72
ISSN
1951-6851
DOI
10.2991/ammsa-17.2017.72How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Boyu Wang
AU  - Yaru Zhao
AU  - Jiamin Li
AU  - Jinxiang Cai
AU  - Honghua Bin
AU  - Zhenkun Huang
PY  - 2017/05
DA  - 2017/05
TI  - Exponential Stability of the Genetic Regulatory Networks with Delay on Time Scales
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 322
EP  - 326
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.72
DO  - 10.2991/ammsa-17.2017.72
ID  - Wang2017/05
ER  -