Stability and L2-gain analysis for impulsive delay systems: An impulse-time-dependent discretized Lyapunov functional method

Automatica ◽  
2017 ◽  
Vol 86 ◽  
pp. 129-137 ◽  
Author(s):  
Wu-Hua Chen ◽  
Zhen Ruan ◽  
Wei Xing Zheng
Keyword(s):  
Lyapunov Functional ◽  
Functional Method ◽  
Time Dependent ◽  
Delay Systems ◽  
Impulsive Delay ◽  
Lyapunov Functional Method ◽  
L2 Gain

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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