Exponential stability analysis andl1synthesis of positive T-S fuzzy systems with time-varying delays

2017 ◽  
Vol 24 ◽  
pp. 186-197 ◽  
Author(s):  
Min Meng ◽  
James Lam ◽  
Jun-e Feng ◽  
Xudong Zhao ◽  
Xiaoming Chen
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Fuzzy Systems ◽  
Time Varying

scholarly journals Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Jinxiang Cai ◽  
Zhenkun Huang ◽  
Honghua Bin
Keyword(s):  
Periodic Solution ◽  
Stability Analysis ◽  
Exponential Stability ◽  
Time Scales ◽  
Continuous Time ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Sufficient Conditions ◽  
Contraction Mapping Principle ◽  
Time Varying

We present stability analysis of delayed Wilson-Cowan networks on time scales. By applying the theory of calculus on time scales, the contraction mapping principle, and Lyapunov functional, new sufficient conditions are obtained to ensure the existence and exponential stability of periodic solution to the considered system. The obtained results are general and can be applied to discrete-time or continuous-time Wilson-Cowan networks.

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