Journal
FRACTAL AND FRACTIONAL
Volume 6, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/fractalfract6050281
Keywords
uniform stability; complex-valued neural networks; fractional-order derivative
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Funding
- Shandong Provincial Natural Science Foundation [ZR2020MA006]
- Introduction and Cultivation Project of Young and Innovative Talents in Universities of Shandong Province
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This paper discusses the problem of uniform stability for a class of fractional-order fuzzy impulsive complex-valued neural networks with mixed delays in infinite dimensions for the first time. The uniqueness of the solution and criteria for uniform stability are derived using fixed-point theory, theory of differential inclusion, and set-valued mappings. Compared to related results, the approach does not require the construction of a complex Lyapunov function, reducing computational complexity.
In this paper, the problem of the uniform stability for a class of fractional-order fuzzy impulsive complex-valued neural networks with mixed delays in infinite dimensions is discussed for the first time. By utilizing fixed-point theory, theory of differential inclusion and set-valued mappings, the uniqueness of the solution of the above complex-valued neural networks is derived. Subsequently, the criteria for uniform stability of the above complex-valued neural networks are established. In comparison with related results, we do not need to construct a complex Lyapunov function, reducing the computational complexity. Finally, an example is given to show the validity of the main results.
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