Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method

2009 ◽  
Author(s):  
Ken Yeh ◽  
Cheng-Wu Chen ◽  
Shu-Hao Lin ◽  
Chen-Yuan Chen
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Fuzzy Systems ◽  
Lyapunov Method

Delay-Dependent Robust Stability Analysis for Time-Delay T–S Fuzzy Systems with Nonlinear Local Models

2013 ◽  
Vol 24 (1-2) ◽  
pp. 11-21 ◽  
Author(s):  
Luis Felipe da Cruz Figueredo ◽  
João Yoshiyuki Ishihara ◽  
Geovany Araújo Borges ◽  
Adolfo Bauchspiess
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Robust Stability ◽  
Fuzzy Systems ◽  
Local Models ◽  
Robust Stability Analysis ◽  
Delay Dependent

scholarly journals Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Ken Yeh ◽  
Cheng-Wu Chen
Keyword(s):  
Stability Analysis ◽  
Lyapunov Functions ◽  
Fuzzy Systems ◽  
Lyapunov Method ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Fuzzy Lyapunov Function ◽  
Quadratic Lyapunov Functions ◽  
The Stability

The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist ofJinterconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Some stability conditions are derived through the use of fuzzy Lyapunov functions to ensure that the interconnected fuzzy systems are asymptotically stable. Common solutions can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. Finally, simulations are performed in order to verify the effectiveness of the proposed stability conditions in this paper.

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