Improved Delay-Range-Dependent Stability Condition for T–S Fuzzy Systems with Variable Delays Using New Extended Affine Wirtinger Inequality

2020 ◽  
Vol 22 (3) ◽  
pp. 985-998 ◽  
Author(s):  
Rupak Datta ◽  
Rajeeb Dey ◽  
Baby Bhattacharya
Keyword(s):  
Stability Condition ◽  
Fuzzy Systems ◽  
Wirtinger Inequality ◽  
Variable Delays

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

A NOVEL GLOBAL EXPONENTIAL STABILITY RESULT FOR DISCRETE-TIME CELLULAR NEURAL NETWORKS WITH VARIABLE DELAYS

2006 ◽  
Vol 16 (06) ◽  
pp. 467-472 ◽  
Author(s):  
QIANG ZHANG ◽  
XIAOPENG WEI ◽  
JIN XU
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Equilibrium Point ◽  
Discrete Time ◽  
Stability Condition ◽  
Global Exponential Stability ◽  
Stability Result ◽  
Cellular Neural Networks ◽  
Unique Equilibrium ◽  
Variable Delays

Global exponential stability is considered for a class of discrete-time cellular neural networks with variable delays. By employing a discrete Halanay inequality, a new result is presented ensuring global exponential stability of the unique equilibrium point of the networks. The result extends and improves the earlier publications due to the fact that it removes some restrictions on the delay. An example is given to illustrate the effectiveness of the global exponential stability condition provided here.

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