Robust Stability of Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach
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, suf.cient 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 veri.ed. Finally, two illustrative examples and their simulations are presented to show the effectiveness of the obtained result.
genetic regularity networks (GRNs) robust stability Lyapunov functional linear matrix inequality (LMI) delay fractioning approach.
Ahui Yu Xian Zhang
School of MathematicalScience, Heilongjiang University, Harbin 150080, China School of Mathematical Science, Heilongjiang University, Harbin 150080, China
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
2325-2330
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）