NDLI: Robust stability of genetic regulatory networks with interval time-varying delays under intrinsic and extrinsic noises

Content Provider	IEEE Xplore Digital Library
Author	Pan Wei Wang Zidong Hu Jun Gao Huijun
Copyright Year	2010
Description	Author affiliation: Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom (Wang Zidong) \|\| Space Control and Inertial Technology Research Center, Harbin Institute of Technology, 150001, China (Hu Jun; Gao Huijun) \|\| Department of Electronic Science and Technology, University of Science and Technology of China, Hefei 230027, China (Pan Wei)
Abstract	Gene regulation is inherently a stochastic process due to intrinsic and extrinsic noises which cause the fluctuations and uncertainties of kinetic parameters. On the other hand, time delays are usually inevitable due to different biochemical reactions in the genetic regulatory networks (GRNs) which are also affected by noises. Therefore, in this paper, we propose a GRN model that is subject to additive and multiplicative noises as well as time-varying delays. The time-varying delay is assumed to belong to an interval and no restriction on the derivative of the time-varying delay is needed, which allows the delay to be a fast time-varying function. Robust stochastic stability of such GRNs with disturbance attenuation is analyzed by applying the control theory and mathematical tools. Based on the Lyapunov method, new stability conditions are derived in the form of linear matrix inequalities (LMIs) that are dependent on the upper and lower bounds of time delays. An example is employed to illustrate the applicability and usefulness of the developed theoretical results.
Starting Page	6245
Ending Page	6250
File Size	223864
Page Count	6
File Format	PDF
ISBN	9781424462636
e-ISBN	9787894631046
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-29
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Association of Aut
Subject Keyword	Uncertainty Robust stability Genetic regulatory network Biological system modeling Noise Stochastic processes noise Lyapunov-Krasovskii functional Interval time-varying delay Mathematical model Gene expression Delay
Content Type	Text
Resource Type	Article

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