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

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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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  -