Finite-time stability of fractional-order delayed Cohen–Grossberg memristive neural networks: a novel fractional-order delayed Gronwall inequality approach

2021 ◽  
pp. 1-27
Author(s):  
Feifei Du ◽  
Jun-Guo Lu
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Finite Time ◽  
Gronwall Inequality ◽  
Memristive Neural Networks ◽  
Time Stability ◽  
Finite Time Stability ◽  
Grönwall Inequality

scholarly journals Finite time stability of linear fractional order dynam-ical system with variable delays

2018 ◽  
Vol 7 (2) ◽  
pp. 27
Author(s):  
Jackreece P. C ◽  
Aniaku S. E
Keyword(s):  
Dynamical System ◽  
Fractional Order ◽  
Finite Time ◽  
Gronwall Inequality ◽  
Sufficient Condition ◽  
Variable Delay ◽  
Time Stability ◽  
Finite Time Stability ◽  
Variable Delays ◽  
Grönwall Inequality

In this paper, some sufficient condition ensuring finite time stability are derived for a class of linear fractional order dynamical system with variable delay using generalized Gronwall inequality as well as classical Bellman-Gronwall inequality.

scholarly journals Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Yuping Cao ◽  
Chuanzhi Bai
Keyword(s):  
Neural Networks ◽  
Fractional Calculus ◽  
Fractional Order ◽  
Finite Time ◽  
Distributed Delay ◽  
Bam Neural Networks ◽  
Time Stability ◽  
Finite Time Stability ◽  
Generalized Gronwall Inequality ◽  
Grönwall Inequality

Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper. An illustrative example is also given to demonstrate the effectiveness of the obtained result.

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