1. Asymptotic Stability and Synchronization of Fractional-Order Neural Networks With Unbounded Time-Varying Delays.
- Author
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Zhang, Fanghai and Zeng, Zhigang
- Subjects
- *
STABILITY of nonlinear systems , *TIME-varying networks , *SYNCHRONIZATION , *NONLINEAR systems - Abstract
This article deals with the asymptotic stability and synchronization of fractional-order neural networks (FONNs) with unbounded time-varying delays, in which FONNs can be the general nonlinear system. First, the existence of the equilibrium point of the nonlinear system is obtained, and the μ-type stability of fractional-order nonlinear systems is proved by the analytical method. Second, several sufficient conditions are derived to guarantee the μ-type stability of FONNs by taking easily implemented parameters. Moreover, the μ-type synchronization of drive-response systems is established by designing the linear controller. Especially, μ-type stability is the general stability, including Mittag-Leffler stability and power-stability, which is the extension of the Mittag-Leffler stability of FONNs. Finally, two numerical examples are presented to show the effectiveness of the results. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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