lim-globalmittagleffler-2020.pdf (473.28 kB)
Global mittag-leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks
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posted on 2020-03-01, 00:00 authored by G Rajchakit, P Chanthorn, P Kaewmesri, R Sriraman, Chee Peng LimChee Peng LimThis paper studies the global Mittag–Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks (FOQVMNNs). The state feedback stabilizing control law is designed in order to stabilize the considered problem. Based on the non-commutativity of quaternion multiplication, the original fractional-order quaternion-valued systems is divided into four fractional-order real-valued systems. By using the method of Lyapunov fractional-order derivative, fractional-order differential inclusions, set-valued maps, several global Mittag–Leffler stability and stabilization conditions of considered FOQVMNNs are established. Two numerical examples are provided to illustrate the usefulness of our analytical results.
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Journal
MathematicsVolume
8Issue
3Article number
422Pagination
1 - 29Publisher
MDPI AGLocation
Basel, SwitzerlandPublisher DOI
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2227-7390Language
engPublication classification
C1 Refereed article in a scholarly journalUsage metrics
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