Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244370
