Title :
Stability analysis for continuous-time genetic regulatory networks with delays
Author :
Tingting Liu ; Xiangyu Gao ; Xian Zhang
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
This paper analyzes the global exponential stability for the continuous-time genetic regulatory networks (GRNs) with delays. By constructing a new Lyapunov functional, a sufficient condition of the global exponential stability for a class of the continuous-time GRNs is given in the form of several elementary inequalities. This sufficient condition is weaker than one obtained in [Appl. Math. Comput., vol. 220, pp. 507-517, 2013]. Finally, a pair of numerical examples are provided to show the effectiveness of the proposed analysis approach.
Keywords :
Lyapunov methods; asymptotic stability; biocontrol; continuous time systems; delays; genetics; Lyapunov functional; continuous-time GRN; continuous-time genetic regulatory network; delays; elementary inequalities; global exponential stability; stability analysis; sufficient condition; Computational modeling; Control theory; Delays; Genetics; Mathematical model; Stability analysis;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7232009
