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

Volume

1

fYear

2011

fDate

25-28 July 2011

Firstpage

564

Lastpage

568

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-0813-8

Type

conf

DOI

10.1109/ICICIP.2011.6008308

Filename

6008308