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Delay‐dependent stability for Markovian genetic regulatory networks with time‐varying delays |
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| Authors: | Baoyong Zhang Shengyuan Xu Yuming Chu Guangdeng Zong |
| Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. Department of Mathematics, Huzhou Teacher's College, Huzhou 313000, China;3. Institute of Automation, Qufu Normal University, Qufu 273165, China |
| Abstract: | This paper is concerned with the problem of stochastic stability analysis for a class of genetic regulatory networks with Markovian jump parameters and time‐varying delays. A delay‐dependent stability criterion is derived by using a novel mode‐dependent Lyapunov functional. The derived stability criterion is expressed in terms of linear matrix inequalities and is less conservative than the existing ones in the literature. A numerical example is provided to demonstrate the effectiveness of the proposed stability criterion. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
| Keywords: | Delay‐dependent conditions genetic regulatory networks Markovian jump parameters stochastic stability |