Stability analysis of genetic regulatory networks with time-varying delay via new convex combination technique

2015 ◽  
Author(s):  
Feisheng Yang ◽  
Dejun Mu ◽  
Jing He ◽  
Dongxu Huang
Keyword(s):  
Stability Analysis ◽  
Regulatory Networks ◽  
Convex Combination ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Combination Technique ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Jun Li ◽  
Manfeng Hu ◽  
Jinde Cao ◽  
Yongqing Yang ◽  
Yinghua Jin
Keyword(s):  
Regulatory Networks ◽  
Convex Combination ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Leakage Term ◽  
Combination Technique ◽  
Time Varying Delay ◽  
The Stability ◽  
Stochastic Genetic Regulatory Networks ◽  
Delay Dependent

This paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time-varying delays both in the leakage term and in the regulator function. By constructing a suitable Lyapunov-Krasovskii functional which uses the information on the lower bound of the delay sufficiently, a delay-dependent stability criterion is derived for the proposed UISGRNs model by using the free-weighting matrices method and convex combination technique. The conditions obtained here are expressed in terms of LMIs whose feasibility can be checked easily by MATLAB LMI control toolbox. In addition, three numerical examples are given to justify the obtained stability results.

scholarly journals Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Lizi Yin ◽  
Yungang Liu
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Regulatory Networks ◽  
Convex Combination ◽  
Genetic Regulatory Networks ◽  
Distributed Delays ◽  
Combination Method ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay

The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LMI). The lower bound of derivatives of time-varying delay is first taken into account in genetic networks stability analysis, and the main results with less conservatism are established by interactive convex combination method to estimate the upper bound of derivative function of the Lyapunov-Krasovskii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.

An LPV based robust peak-to-peak state estimation for genetic regulatory networks with time varying delay

2015 ◽  
Vol 160 ◽  
pp. 261-273 ◽  
Author(s):  
Mohammad Mohammadian ◽  
Hamid Reza Momeni ◽  
Hazhar Sufi Karimi ◽  
Iman Shafikhani ◽  
Mahdieh Tahmasebi
Keyword(s):  
State Estimation ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Robust filtering for stochastic genetic regulatory networks with time-varying delay

2009 ◽  
Vol 220 (2) ◽  
pp. 73-80 ◽  
Author(s):  
Guoliang Wei ◽  
Zidong Wang ◽  
James Lam ◽  
Karl Fraser ◽  
Ganti Prasada Rao ◽  
...  
Keyword(s):  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Robust Filtering ◽  
Time Varying ◽  
Time Varying Delay ◽  
Stochastic Genetic Regulatory Networks ◽  
Varying Delay
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