Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays
Joint Authors
Iu, H. H.-C.
Hui, Meng
Wei, Chen
Zhang, Jiao
Luo, Ni
Yao, Rui
Bai, Lin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-27
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
This paper is concerned with the finite-time projective synchronization problem of fractional-order memristive neural networks (FMNNs) with mixed time-varying delays.
Firstly, under the frame of fractional-order differential inclusion and the set-valued map, several criteria are derived to ensure finite-time projective synchronization of FMNNs.
Meanwhile, three properties are established to deal with different forms of the finite-time fractional differential inequation, which greatly extend some results on estimation of settling time of FMNNs.
In addition to the traditional Lyapunov function with 1-norm form in Theorem 1, a more general and flexible Lyapunov function based on p-norm is constructed in Theorem 2 to analyze the finite-time projective synchronization problem, and the estimation of settling time has been verified less conservative than previous results.
Finally, numerical examples are provided to demonstrate the effectiveness of the derived theoretical results.
American Psychological Association (APA)
Hui, Meng& Wei, Chen& Zhang, Jiao& Iu, H. H.-C.& Luo, Ni& Yao, Rui…[et al.]. 2020. Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays. Complexity،Vol. 2020, no. 2020, pp.1-27.
https://search.emarefa.net/detail/BIM-1141822
Modern Language Association (MLA)
Hui, Meng…[et al.]. Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays. Complexity No. 2020 (2020), pp.1-27.
https://search.emarefa.net/detail/BIM-1141822
American Medical Association (AMA)
Hui, Meng& Wei, Chen& Zhang, Jiao& Iu, H. H.-C.& Luo, Ni& Yao, Rui…[et al.]. Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays. Complexity. 2020. Vol. 2020, no. 2020, pp.1-27.
https://search.emarefa.net/detail/BIM-1141822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141822