Stability of stochastic delay switched neural networks with all unstable subsystems: A multiple discretized Lyapunov-Krasovskii functionals method

2021 ◽  
Author(s):  
Hanni Xiao ◽  
Quanxin Zhu ◽  
Hamid Reza Karimi
Keyword(s):  
Neural Networks ◽  
Stochastic Delay ◽  
Switched Neural Networks ◽  
Unstable Subsystems

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.

Split-Step Backward Euler Method for Stochastic Delay Hopfield Neural Networks with Markovian Switching

2011 ◽  
Vol 58-60 ◽  
pp. 1390-1395
Author(s):  
Rong Hua Li ◽  
Li Yang ◽  
Jia Wei Li
Keyword(s):  
Neural Networks ◽  
Euler Method ◽  
Hopfield Neural Networks ◽  
Markovian Switching ◽  
Backward Euler Method ◽  
Approximation Solution ◽  
True Solution ◽  
Stochastic Delay ◽  
Backward Euler ◽  
Exponentially Stable

In this paper, split-step backward Euler method for stochastic delay Hopfield neural networks with Markovian switching is considered. The main aim of this paper is to show that the numerical approximation solution is convergent to the true solution with order. The conditions under which the numerical solution is exponentially stable in mean square are given. An example is provided for illustration.

scholarly journals Stabilization of switched neural networks with time‐varying delay via bumpless transfer control

2019 ◽  
Vol 22 (2) ◽  
pp. 1008-1020 ◽  
Author(s):  
Chao Liu ◽  
Dihua Sun ◽  
Zheng Yang ◽  
Xiaoyang Liu ◽  
Hongyu Yang ◽  
...  
Keyword(s):  
Neural Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Switched Neural Networks ◽  
Bumpless Transfer ◽  
Varying Delay
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