Stability analysis for control systems with aperiodically sampled data using an augmented Lyapunov functional method

2013 ◽  
Vol 7 (9) ◽  
pp. 1219-1226 ◽  
Author(s):  
Chuan-Ke Zhang ◽  
Yong He ◽  
Henry Wu ◽  
Lin Jiang ◽  
Min Wu
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Lyapunov Functional ◽  
Functional Method ◽  
Sampled Data ◽  
Lyapunov Functional Method

scholarly journals Global Exponential Stability of Learning-Based Fuzzy Networks on Time Scales

2015 ◽  
Vol 2015 ◽  
pp. 1-15
Author(s):  
Juan Chen ◽  
Zhenkun Huang ◽  
Jinxiang Cai
Keyword(s):  
Exponential Stability ◽  
Time Scales ◽  
Continuous Time ◽  
Lyapunov Functional ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Fuzzy Neural Networks ◽  
New Learning ◽  
Fuzzy Neural ◽  
Lyapunov Functional Method

We investigate a class of fuzzy neural networks with Hebbian-type unsupervised learning on time scales. By using Lyapunov functional method, some new sufficient conditions are derived to ensure learning dynamics and exponential stability of fuzzy networks on time scales. Our results are general and can include continuous-time learning-based fuzzy networks and corresponding discrete-time analogues. Moreover, our results reveal some new learning behavior of fuzzy synapses on time scales which are seldom discussed in the literature.

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