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Sampled-Data Stabilization for Fuzzy Genetic Regulatory Networks with Leakage Delays
- Authors
- Ali, M. Syed; Gunasekaran, N.; Ahn, Choon Ki; Shi, Peng
- Issue Date
- Jan-2018
- Publisher
- IEEE COMPUTER SOC
- Keywords
- Genetic regulatory network; interval time-varying delay; sampled-data stabilization; Takagi-Sugeno fuzzy model
- Citation
- IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, v.15, no.1, pp.271 - 285
- Indexed
- SCIE
SCOPUS
- Volume
- 15
- Number
- 1
- Start Page
- 271
- End Page
- 285
- ISSN
- 1545-5963
- Abstract
- This paper deals with the sampled-data stabilization problem for Takagi-Sugeno (T-S) fuzzy genetic regulatory networks with leakage delays. A novel Lyapunov-Krasovskii functional (LKF) is established by the non-uniform division of the delay intervals with triplex and quadruplex integral terms. Using such LKFs for constant and time-varying delay cases, new stability conditions are obtained in the T-S fuzzy framework. Based on this, a new condition for the sampled-data controller design is proposed using a linear matrix inequality representation. A numerical result is provided to show the effectiveness and potential of the developed design method.
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Related Researcher
- Ahn, Choon ki
- College of Engineering (School of Electrical Engineering)