Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays

2020 ◽  
Vol 89 ◽  
pp. 105326 ◽  
Author(s):  
R. Manivannan ◽  
Jinde Cao ◽  
Kil To Chong
Keyword(s):  
Time Delay ◽  
State Estimation ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Leakage Delays ◽  
Interval Time

scholarly journals Dissipativity and Error Feedback Controller Design of Time-Delay Genetic Regulatory Networks

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Yonggang Ma ◽  
Junmei Liu ◽  
Jiao Ai
Keyword(s):  
Time Delay ◽  
Regulatory Networks ◽  
Controller Design ◽  
Estimation Error ◽  
Rapid Development ◽  
Genetic Regulation ◽  
Genetic Regulatory Networks ◽  
Error Feedback ◽  
Attraction Set ◽  
Parameter Dependent

Genetic regulatory networks (GRNs) play an important role in the development and evolution of the biological system. With the rapid development of DNA technology, further research on GRNs becomes possible. In this paper, we discuss a class of time-delay genetic regulatory networks with external inputs. Firstly, under some reasonable assumptions, using matrix measures, matrix norm inequalities, and Halanay inequalities, we give the global dissipative properties of the solution of the time-delay genetic regulation networks and estimate the parameter-dependent global attraction set. Secondly, an error feedback control system is designed for the time-delay genetic control networks. Furthermore, we prove that the estimation error of the model is asymptotically stable. Finally, two examples are used to illustrate the validity of the theoretical results.

scholarly journals Effect of Leakage Delay on Stability of Neutral-Type Genetic Regulatory Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Li Li ◽  
Yongqing Yang ◽  
Chuanzhi Bai
Keyword(s):  
Regulatory Network ◽  
Regulatory Networks ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Genetic Regulatory Networks ◽  
Genetic Regulatory Network ◽  
Leakage Delay ◽  
Leakage Delays ◽  
The Stability

The stability of neutral-type genetic regulatory networks with leakage delays is considered. Firstly, we describe the model of genetic regulatory network with neutral delays and leakage delays. Then some sufficient conditions are derived to ensure the asymptotic stability of the genetic regulatory network by the Lyapunov functional method. Further, the effect of leakage delay on stability is discussed. Finally, a numerical example is given to show the effectiveness of the results.

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