Title :
Robust stability of interval genetic regulatory networks with multiple time-varying delays
Author :
Zhang, Wenbing ; Fang, Jian-an ; Tang, Yang
Author_Institution :
Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China
Abstract :
In this paper, the delay-dependent stability analysis problem for a class of genetic regulatory networks(GRNs) with multiple time-varying delays and interval parameter uncertainties is studied. By employing a new Lyapunov-Krasovskii functional, some delay-dependent stability criteria of interval GRNs are derived in the form of linear matrix inequalities(LMIs) which can be easily checked by Matlab Toolbox. Finally, a numerical examples are used to demonstrate the usefulness of the main results and effectiveness of the derived conditions.
Keywords :
Lyapunov methods; delays; genetics; linear matrix inequalities; robust control; Lyapunov-Krasovskii function; delay-dependent stability analysis; interval genetic regulatory network; interval parameter uncertainty; linear matrix inequalities; robust stability; time-varying delay; Asymptotic stability; Bismuth; Data models; Delay; Genetics; Stability criteria; Genetic regulatory networks(GRNs); Lyapunov-Krasovskii functional; interval uncertain system; linear matrix inequalities(LMIs); stochastic perturbations;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-0813-8
DOI :
10.1109/ICICIP.2011.6008308
