New delay-dependent stability and stabilization of linear system with state and input delays

2008 ◽  
Author(s):  
Yijing Wang ◽  
Xianbo Yan ◽  
Zhiqiang Zuo ◽  
Huimin Zhao ◽  
Guoshan Zhang
Keyword(s):  
Linear System ◽  
Stability And Stabilization ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Delay-Dependent Stability Analysis of Uncertain Fuzzy Systems with State and Input Delays under Imperfect Premise Matching

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Zejian Zhang ◽  
Xiao-Zhi Gao ◽  
Kai Zenger ◽  
Xianlin Huang
Keyword(s):  
Fuzzy Systems ◽  
Design Method ◽  
Integral Term ◽  
Flexibility Design ◽  
State And Input Delays ◽  
The Stability ◽  
Input Delays ◽  
Delay Dependent ◽  
Imperfect Premise Matching ◽  
Delay Dependent Stability

This paper discusses the stability and stabilization problem for uncertain T-S fuzzy systems with time-varying state and input delays. A new augmented Lyapunov function with an additional triple-integral term and different membership functions of the fuzzy models and fuzzy controllers are introduced to derive the stability criterion, which is less conservative than the existing results. Moreover, a new flexibility design method is also provided. Some numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed method.

New Approach to Non-Fragile Control of Uncertain Fuzzy Systems with Time-Delay

2013 ◽  
Vol 433-435 ◽  
pp. 1131-1135
Author(s):  
Li Li
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Upper Bounds ◽  
Stability Conditions ◽  
New Approach ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper focuses on the delay-dependent stability analysis and stabilization for T-S fuzzy system systems with state and input delays. Some new and less conservative delay-dependent small stability conditions are explicitly obtained. The upper bounds of time-delays are obtained by using small convex optimization.Finally, a numerical example is included to show the effectiveness.

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