Stability for Markovian switching stochastic neural networks with infinite delay driven by Lévy noise

2018 ◽  
Vol 7 (2) ◽  
pp. 547-556 ◽  
Author(s):  
Chafai Imzegouan
Keyword(s):  
Neural Networks ◽  
Infinite Delay ◽  
Markovian Switching ◽  
Lévy Noise ◽  
Stochastic Neural Networks ◽  
Levy Noise

Synchronization of delayed neural networks with Lévy noise and Markovian switching via sampled data

2015 ◽  
Vol 81 (3) ◽  
pp. 1179-1189 ◽  
Author(s):  
Jun Yang ◽  
Wuneng Zhou ◽  
Peng Shi ◽  
Xueqing Yang ◽  
Xianghui Zhou ◽  
...  
Keyword(s):  
Neural Networks ◽  
Markovian Switching ◽  
Lévy Noise ◽  
Sampled Data ◽  
Delayed Neural Networks ◽  
Levy Noise

Almost surely exponential stability of neural networks with Lévy noise and Markovian switching

2014 ◽  
Vol 145 ◽  
pp. 154-159 ◽  
Author(s):  
Wuneng Zhou ◽  
Jun Yang ◽  
Xueqing Yang ◽  
Anding Dai ◽  
Huashan Liu ◽  
...  
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Markovian Switching ◽  
Lévy Noise ◽  
Almost Surely Exponential Stability ◽  
Levy Noise

Adaptive synchronization of delayed Markovian switching neural networks with Lévy noise

2015 ◽  
Vol 156 ◽  
pp. 231-238 ◽  
Author(s):  
Jun Yang ◽  
Wuneng Zhou ◽  
Peng Shi ◽  
Xueqing Yang ◽  
Xianghui Zhou ◽  
...  
Keyword(s):  
Neural Networks ◽  
Markovian Switching ◽  
Adaptive Synchronization ◽  
Lévy Noise ◽  
Levy Noise

Adaptive state estimation of Markov switched neural networks driven by Lévy noise

2019 ◽  
Vol 42 (2) ◽  
pp. 330-336
Author(s):  
Dongbing Tong ◽  
Qiaoyu Chen ◽  
Wuneng Zhou ◽  
Yuhua Xu
Keyword(s):  
Neural Networks ◽  
State Estimation ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Lévy Noise ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Switched Neural Networks ◽  
Inequality Technique ◽  
Levy Noise

This paper proposes the [Formula: see text]-matrix method to achieve state estimation in Markov switched neural networks with Lévy noise, and the method is very distinct from the linear matrix inequality technique. Meanwhile, in light of the Lyapunov stability theory, some sufficient conditions of the exponential stability are derived for delayed neural networks, and the adaptive update law is obtained. An example verifies the condition of state estimation and confirms the effectiveness of results.

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