Semantic Scholar Open Access 2021 88 sitasi

Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks

Ruoxia Li Jinde Cao Changfeng Xue R. Manivannan

Abstrak

Abstract A discrete-time fractional-order quaternion-valued memristive system is considered in this note. By utilizing contraction mapping theory, a sufficient condition for the existence and uniqueness of the equilibrium point for the considered system is derived. Via the comparison principle of linear fractional difference system, the quasi-stability condition of the given system is obtained, subsequently, the quasi-synchronization conclusion is derived through Lyapunov method and a proper controller, which can well handle the quasi-synchronization problem in the process of implementing the controller. Applying the lexicographical order method to the quaternion-valued memristive neural networks, the closed convex hull consisted by the connection weights is meaningful. One example is given to substantiate the obtained conclusions.

Topik & Kata Kunci

Mathematics Computer Science

Penulis (4)

Ruoxia Li

Jinde Cao

Changfeng Xue

R. Manivannan

Format Sitasi

APA MLA BibTeX

Li, R., Cao, J., Xue, C., Manivannan, R. (2021). Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks. https://doi.org/10.1016/j.amc.2020.125851

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Total Sitasi: 88×
Sumber Database: Semantic Scholar
DOI: 10.1016/j.amc.2020.125851
Akses: Open Access ✓