Asymptotic and robust stability of T‐S fuzzy genetic regulatory networks with time‐varying delays |
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| Authors: | Jinliang Liu Dong Yue |
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| Affiliation: | 1. College of Information Science and Technology, Donghua University, Shanghai 201620, People's Republic of China;2. College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, People's Republic of China;3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China |
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| Abstract: | In this paper, we propose and investigate a new general model of fuzzy genetic regulatory networks described by the Takagi–Sugeno (T‐S) fuzzy model with time‐varying delays. By using a Lyapunov functional approach and linear matrix inequality (LMI) techniques, the stability criteria for the delayed fuzzy genetic regulatory networks are expressed as a set of LMIs, which can be solved numerically by LMI toolbox in Matlab. Two fuzzy genetic network example are given to verify the effectiveness and applicability of the proposed approach. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | T‐S fuzzy model fuzzy genetic regulatory network time‐varying delays linear matrix inequality (LMI) |
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