Stochastic stability for uncertain genetic regulatory networks with interval time-varying delays |
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Authors: | Haixia Xiaofeng Songtao Wei Zhengxia |
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Affiliation: | aCollege of Computer Science, Chongqing University, Chongqing 400030, China;bDepartment of Computer and Modern Education Technology, Chongqing Education College, Chongqing 400067, China;cSchool of Science, Chongqing Jiaotong University, Chongqing 400074, China |
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Abstract: | This paper is concerned with the robust asymptotic stability analysis for uncertain genetic regulatory networks with both interval time-varying delays and stochastic noise. By using the stochastic analysis approach, employing some free-weighting matrices and introducing an appropriate type of Lyapunov functional which takes into account the ranges of delays, some new delay-range-dependent and rate-dependent stability criteria are established in terms of linear matrix inequalities (LMIs) to guarantee the delayed genetic regulatory networks to be robustly asymptotically stable in the mean square. As a result, the new criteria are applicable to both fast and slow time-varying delays. Five numerical examples are also used to demonstrate the usefulness of the main results and less conservativeness of the proposed method. |
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Keywords: | Uncertain genetic regulatory networks Stability Stochastic noise Interval time-varying delays Linear matrix inequalities (LMIs) |
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