Some New Gronwall-Type Integral Inequalities and their Applications to Finite-Time Stability of Fractional-Order Neural Networks with Hybrid Delays

In this paper, some Gronwall-type integral inequalities with discrete and distributed delays are explored to analyze differential or integral systems with hybrid delays. These new inequalities generalize some previous ones which have played an important part in the research on dynamic behavior of sy...

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Bibliographic Details
Published in:Neural processing letters 2023-12, Vol.55 (8), p.11233-11258
Main Authors: Yang, Zhanying, Zhang, Jie, Hu, Junhao, Mei, Jun
Format: Article
Language:English
Subjects:
Artificial Intelligence
Complex Systems
Computational Intelligence
Computer Science
Criteria
Hybrid systems
Inequalities
Inequality
Integral equations
Neural networks
Stability
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Summary:In this paper, some Gronwall-type integral inequalities with discrete and distributed delays are explored to analyze differential or integral systems with hybrid delays. These new inequalities generalize some previous ones which have played an important part in the research on dynamic behavior of systems. Based on the established Henry-Gronwall type integral inequality, an improved criterion is derived to ensure the finite-time stability for a class of fractional-order neural networks with hybrid delays. Finally, some numerical examples are provided to show the effectiveness and the less conservativeness of the obtained criterion.
ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-023-11373-3