Sampled-Data Stabilization for Fuzzy Genetic Regulatory Networks with Leakage Delays
Copyright policy )Sampled-Data Stabilization for Fuzzy Genetic Regulatory Networks with Leakage Delays
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.
- University of Adelaide Australia
- Korea University Korea (Republic of)
- Thiruvalluvar University India
- Victoria University Australia
sampled-data stabilization, Lyapunov-Krasovskii functional, Takagi-Sugeno fuzzy model, Genetic regulatory network, stability analysis, 0906 Electrical and Electronic Engineering, sampled-data control, interval time-varying delay, College of Science and Engineering, nonlinear systems, delay effects, linear matrix inequality, 0802 Computation Theory and Mathematics
sampled-data stabilization, Lyapunov-Krasovskii functional, Takagi-Sugeno fuzzy model, Genetic regulatory network, stability analysis, 0906 Electrical and Electronic Engineering, sampled-data control, interval time-varying delay, College of Science and Engineering, nonlinear systems, delay effects, linear matrix inequality, 0802 Computation Theory and Mathematics
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