Delay-dependent H∞ control for stochastic genetic regulatory networks with interval time-varying delays

Author

Zeng Jin ; He Yong ; Wu Min ; Fu Lingyun

Author_Institution

Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China

fYear

2011

fDate

22-24 July 2011

Firstpage

2291

Lastpage

2296

Abstract

This paper is concerned with H_∞ control for a new genetic regulatory network (GRN) model with both intrinsic perturbation and extrinsic perturbation. A delay- and range-dependent criterion for a given H_∞ performance is established via employing an improved free-weighting matrix approach. At the same time, H_∞ feedback controllers are designed to regulate the noise influences. To demonstrate the effectiveness of the obtained theoretical results, two numerical examples are presented in this paper.

Keywords

H^∞ control; biocontrol; control system synthesis; delay systems; delays; feedback; genetics; matrix algebra; performance index; stochastic systems; H_∞ feedback controller design; H_∞ performance; delay-dependent H_∞ control; extrinsic perturbation; free-weighting matrix approach; interval time-varying delays; intrinsic perturbation; range-dependent criterion; stochastic genetic regulatory network; Adaptive control; Delay; Delay effects; Genetics; Noise; Stability analysis; Stochastic processes; Free-weighting matrix approach; Genetic regulatory networks; H∞ control; Stochastic perturbation; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000853