New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type

2009 ◽  
Vol 72 (10-12) ◽  
pp. 2549-2555 ◽  
Author(s):  
Jia Liu ◽  
Guangdeng Zong
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Neutral Type ◽  
Stability Conditions ◽  
Bam Neural Networks ◽  
Delay Dependent ◽  
Asymptotic Stability Conditions

DELAY-DEPENDENT GLOBAL ROBUST ASYMPTOTIC STABILITY ANALYSIS OF BAM NEURAL NETWORKS WITH TIME DELAY: AN LMI APPROACH

2007 ◽  
Vol 03 (01) ◽  
pp. 57-68 ◽  
Author(s):  
XU-YANG LOU ◽  
BAO-TONG CUI
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Lmi Approach ◽  
Global Robust Asymptotic Stability ◽  
Dependent Property ◽  
Delay Dependent ◽  
Robust Asymptotic Stability

The global robust asymptotic stability of bi-directional associative memory (BAM) neural networks with constant or time-varying delays is studied. An approach combining the Lyapunov-Krasovskii functional with the linear matrix inequality (LMI) is taken to study the problem. Some a criteria for the global robust asymptotic stability, which gives information on the delay-dependent property, are derived. Some illustrative examples are given to demonstrate the effectiveness of the obtained results.

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.

New delay-dependent global asymptotic stability criteria of delayed BAM neural networks

2009 ◽  
Vol 42 (2) ◽  
pp. 854-864 ◽  
Author(s):  
Degang Yang ◽  
Chunyan Hu ◽  
Yong Chen ◽  
Pengcheng Wei ◽  
Huaqian Yang
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Bam Neural Networks ◽  
Stability Criteria ◽  
Delay Dependent
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