Delay-Dependent and Delay-Independent Stability Conditions of Delayed Cellular Neural Networks

2006 ◽  
pp. 529-536
Author(s):  
Wudai Liao ◽  
Dongyun Wang ◽  
Yulin Xu ◽  
Xiaoxin Liao
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Stability Conditions ◽  
Delay Dependent

ATTRACTABILITY AND LOCATION OF EQUILIBRIUM POINT OF CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS

2004 ◽  
Vol 14 (05) ◽  
pp. 337-345 ◽  
Author(s):  
ZHIGANG ZENG ◽  
DE-SHUANG HUANG ◽  
ZENGFU WANG
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Equilibrium Point ◽  
Global Exponential Stability ◽  
Cellular Neural Networks ◽  
Stability Conditions ◽  
Time Varying ◽  
The Stability ◽  
Theoretical Results

This paper presents new theoretical results on global exponential stability of cellular neural networks with time-varying delays. The stability conditions depend on external inputs, connection weights and delays of cellular neural networks. Using these results, global exponential stability of cellular neural networks can be derived, and the estimate for location of equilibrium point can also be obtained. Finally, the simulating results demonstrate the validity and feasibility of our proposed approach.

Improved delay-dependent stability conditions for recurrent neural networks with multiple time-varying delays

2014 ◽  
Vol 78 (2) ◽  
pp. 803-812 ◽  
Author(s):  
Yonggang Chen ◽  
Shumin Fei ◽  
Yongmin Li
Keyword(s):  
Neural Networks ◽  
Recurrent Neural Networks ◽  
Stability Conditions ◽  
Multiple Time ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

Novel delay-dependent robust stability criterion of delayed cellular neural networks

2007 ◽  
Vol 32 (3) ◽  
pp. 1194-1200 ◽  
Author(s):  
Hyun J. Cho ◽  
Ju H. Park
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Stability Criterion ◽  
Cellular Neural Networks ◽  
Delay Dependent

scholarly journals New Exponential Stability Conditions of Switched BAM Neural Networks with Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yi Yang
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Stability Problem ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Stability Conditions ◽  
Bam Neural Networks ◽  
Average Dwell Time Method ◽  
Delay Dependent ◽  
First Time

The exponential stability problem is considered in this paper for discrete-time switched BAM neural networks with time delay. The average dwell time method is introduced to deal with the exponential stability analysis of the systems for the first time. By constructing a new switching-dependent Lyapunov-Krasovskii functional, some new delay-dependent criteria are developed, which guarantee the exponential stability. A numerical example is provided to demonstrate the potential and effectiveness of the proposed algorithms.

Improved global robust delay-dependent stability criteria for delayed cellular neural networks

2008 ◽  
Vol 85 (8) ◽  
pp. 1265-1277 ◽  
Author(s):  
Dong Yue ◽  
Yijun Zhang ◽  
Engang Tian
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Stability Criteria ◽  
Delay Dependent ◽  
Delay Dependent Stability
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