Robust stability of genetic regulatory networks with time delays: A delay fractioning approach

Author

Yu, Ahui ; Zhang, Xian

Author_Institution

Sch. of Math. Sci., Heilongjiang Univ., Harbin, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2313

Lastpage

2318

Abstract

This paper is concerned with the problem of the robust stability for a class of genetic regularity networks (GRNs) system with time delays and norm-bounded parameter uncertainties, the time delays exist in both the translation process and the feedback regulation process. Based on a new Lyapunov functional approach (“delay fractioning” approach) and linear matrix inequality (LMI) technique, sufficient conditions are given to ensure the robust stability of GRNs. All the stability conditions are given in terms of LMI, which are very easily to be verified. Finally, two illustrative examples and their simulations are presented to show the effectiveness of the obtained result.

Keywords

Lyapunov methods; delays; feedback; genetics; linear matrix inequalities; parameter estimation; robust control; uncertain systems; GRN system; LMI technique; Lyapunov functional approach; delay fractioning approach; feedback regulation process; genetic regulatory networks; linear matrix inequality; norm-bounded parameter uncertainties; robust stability; stability conditions; sufficient conditions; time delays; translation process; Asymptotic stability; Delay; Delay effects; Mathematical model; Robust stability; Symmetric matrices; Uncertain systems; Lyapunov functional; delay fractioning approach; genetic regularity networks (GRNs); linear matrix inequality (LMI); robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244370

Filename

6244370