Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays.
Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers, we first decompose the considered Clifford-valued neural network into 2m2n real-valued systems.
Second, based on the Banach fixed point theorem, we establish the existence and uniqueness of almost periodic solutions of the considered neural networks.
Then, by designing a novel state-feedback controller and constructing a proper Lyapunov function, we study the global asymptotic synchronization of the considered neural networks.
Finally, a numerical example is presented to show the effectiveness and feasibility of our results.
American Psychological Association (APA)
Li, Yongkun& Xiang, Jianglian. 2019. Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132606
Modern Language Association (MLA)
Li, Yongkun& Xiang, Jianglian. Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1132606
American Medical Association (AMA)
Li, Yongkun& Xiang, Jianglian. Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132606