Improved quasi‐uniform stability criterion of fractional‐order neural networks with discrete and distributed delays

2022 ◽  
Author(s):  
Feifei Du ◽  
Jun‐Guo Lu
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Stability Criterion ◽  
Distributed Delays ◽  
Uniform Stability

scholarly journals New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Bingjun Li ◽  
Bingnan Tang
Keyword(s):  
Neural Networks ◽  
Computer Simulation ◽  
Fractional Order ◽  
Stability Criterion ◽  
Uniform Stability ◽  
Sufficient Criterion ◽  
Leakage Delays ◽  
Analysis Strategy ◽  
Set Up ◽  
Mapping Theory

In the current work, we are devoted to the issue of uniform stability of fractional-order quaternion-valued neural networks involving discrete and leakage delays. Making use of the contracting mapping theory, we prove that the equilibrium point of the involved fractional-order quaternion-valued neural networks exists and is unique. Taking advantage of mathematical analysis strategy, a sufficient criterion involving delay to verify the global uniform stability for the considered fractional-order quaternion-valued neural networks is set up. Computer simulation figures are displayed to sustain the rationality of the established conclusions. This study generalizes and supplements the research of Xiu et al. (2020).

scholarly journals Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Hai Zhang ◽  
Renyu Ye ◽  
Jinde Cao ◽  
Ahmed Alsaedi
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Fractional Order ◽  
Lyapunov Functional ◽  
Equilibrium Solution ◽  
Distributed Delays ◽  
Bam Neural Networks ◽  
Network Systems ◽  
Globally Asymptotic Stability ◽  
Stability Of Equilibrium

This paper investigates the existence and globally asymptotic stability of equilibrium solution for Riemann-Liouville fractional-order hybrid BAM neural networks with distributed delays and impulses. The factors of such network systems including the distributed delays, impulsive effects, and two different fractional-order derivatives between the U-layer and V-layer are taken into account synchronously. Based on the contraction mapping principle, the sufficient conditions are derived to ensure the existence and uniqueness of the equilibrium solution for such network systems. By constructing a novel Lyapunov functional composed of fractional integral and definite integral terms, the globally asymptotic stability criteria of the equilibrium solution are obtained, which are dependent on the order of fractional derivative and network parameters. The advantage of our constructed method is that one may directly calculate integer-order derivative of the Lyapunov functional. A numerical example is also presented to show the validity and feasibility of the theoretical results.

scholarly journals Dynamics of Fractional-Order Neural Networks With Discrete and Distributed Delays

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 46071-46080
Author(s):  
Lingzhi Si ◽  
Min Xiao ◽  
Guoping Jiang ◽  
Zunshui Cheng ◽  
Qiankun Song ◽  
...  
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Distributed Delays
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