Augmented Lyapunov–Krasovskii functional approaches to robust stability criteria for uncertain Takagi–Sugeno fuzzy systems with time-varying delays

2012 ◽  
Vol 201 ◽  
pp. 1-19 ◽  
Author(s):  
O.M. Kwon ◽  
M.J. Park ◽  
S.M. Lee ◽  
Ju H. Park
Keyword(s):  
Robust Stability ◽  
Fuzzy Systems ◽  
Time Varying ◽  
Stability Criteria ◽  
Takagi Sugeno

scholarly journals Robust Stability Criteria for T-S Fuzzy Systems with Time-Varying Delays via Nonquadratic Lyapunov-Krasovskii Functional Approach

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Sung Hyun Kim
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Stability Criterion ◽  
Fuzzy Systems ◽  
Functional Approach ◽  
Relaxation Technique ◽  
Time Varying ◽  
Stability Criteria ◽  
Interval Time

This paper tackles the issue of stability analysis for uncertain T-S fuzzy systems with interval time-varying delays, especially based on the nonquadratic Lyapunov-Krasovskii functional (NLKF). To this end, this paper first provides a less conservative relaxation technique and then derives a relaxed robust stability criterion that enhances the interactions among delayed fuzzy subsystems. The effectiveness of our method is verified by two examples.

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