On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms

Date
2022-06-30
Authors
Priya, Bandana
Thakur, Ganesh Kumar
Ali, M. Syed
Stamov, Gani
Stamova, Ivanka
Sharma, Pawan Kumar
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Journal ISSN
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Abstract

This study investigates the problem of finite-time boundedness of a class of neural networks of Caputo fractional order with time delay and uncertain terms. New sufficient conditions are established by constructing suitable Lyapunov functionals to ensure that the addressed fractional-order uncertain neural networks are finite-time stable. Criteria for finite-time boundedness of the considered fractional-order uncertain models are also achieved. The obtained results are based on a newly developed property of Caputo fractional derivatives, properties of Mittag–Leffler functions and Laplace transforms. In addition, examples are developed to manifest the usefulness of our theoretical results.

Description
Keywords
neural networks, fractional order, time delay, uncertain parameters, finite-time stability, finite-time boundedness
Citation
Fractal and Fractional 6 (7): 368 (2022)
Department
Mathematics