 Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networksRuoxia Li, Jinde Cao, Changfeng Xue and R. Manivannan Applied Mathematics and Computation, 2021, vol. 395, issue C 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. Keywords: Quaternion-valued; Fractional-order; Discrete-time; Quasi-stability analysis; Quasi-synchronization control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:395:y:2021:i:c:s0096300320308043 DOI: 10.1016/j.amc.2020.125851 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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