Delay-dependent global stability condition for delayed Hopfield neural networks

2007 ◽  
Vol 8 (3) ◽  
pp. 997-1002 ◽  
Author(s):  
Qiang Zhang ◽  
Xiaopeng Wei ◽  
Jin Xu
Keyword(s):  
Neural Networks ◽  
Global Stability ◽  
Stability Condition ◽  
Hopfield Neural Networks ◽  
Delay Dependent

DESIGN OF STATE ESTIMATOR FOR SWITCHED HOPFIELD NEURAL NETWORKS WITH TIME-DELAY

2011 ◽  
Vol 20 (04) ◽  
pp. 657-666
Author(s):  
CHOON KI AHN
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Estimation Error ◽  
Hopfield Neural Networks ◽  
Linear Matrix ◽  
Asymptotically Stable ◽  
State Estimator ◽  
Error System ◽  
Delay Dependent ◽  
Dependent State

In this paper, the delay-dependent state estimation problem for switched Hopfield neural networks with time-delay is investigated. Based on the Lyapunov–Krasovskii stability theory, a new delay-dependent state estimator for switched Hopfield neural networks is established to estimate the neuron states through available output measurements such that the estimation error system is asymptotically stable. The gain matrix of the proposed estimator is characterized in terms of the solution to a linear matrix inequality (LMI), which can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed state estimator.

Delay-dependent stability criterion for delayed Hopfield neural networks

2009 ◽  
Vol 39 (5) ◽  
pp. 2133-2137 ◽  
Author(s):  
Yanhong Jiang ◽  
Bin Yang ◽  
Jincheng Wang ◽  
Cheng Shao
Keyword(s):  
Neural Networks ◽  
Stability Criterion ◽  
Hopfield Neural Networks ◽  
Delay Dependent ◽  
Delay Dependent Stability

New delay-range-dependent stability condition for fuzzy Hopfield neural networks via Wirtinger inequality

2020 ◽  
Vol 38 (5) ◽  
pp. 6099-6109
Author(s):  
Rupak Datta ◽  
Rajeeb Dey ◽  
Ramasamy Saravanakumar ◽  
Baby Bhattacharya ◽  
Tsung-Chih Lin
Keyword(s):  
Neural Networks ◽  
Stability Condition ◽  
Hopfield Neural Networks ◽  
Wirtinger Inequality
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