Stability analysis of fuzzy large-scale systems with time delays in interconnections |
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| Authors: | Chunguang Li Xiaofeng Liao Houjun Wang |
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| Affiliation: | 1. Institute of Electronic Systems , University of Electronic Science and Technology of China, School of Electronic Engineering , Chengdu, 610054, People's Republic of China;2. School of Automation Engineering , University of Electronic Science and Technology of China , Chengdu, 610054, People's Republic of China |
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| Abstract: | The stability problem of fuzzy large-scale systems with time delays in interconnections is considered in this paper. The fuzzy large-scale system consists of J interconnected subsystems, which are represented by Takagi-Sugeno (T-S) fuzzy models. The stability conditions are derived using the Lyapunov-Krasovskii functional approach. This condition is independent of time delay and does not need the solution of a Lyapunov equation or Riccati equation. A stabilization approach for the delayed fuzzy large-scale systems through fuzzy state feedback-based controller is also presented in this paper. Finally, an example is given to demonstrate the result. |
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| Keywords: | Fuzzy large-scale system Time delay Stability Takagi-Sugeno model Lyapunov-Krasovskii functional |
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