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Global Mittag-Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks

Rajchakit, Grienggrai, Chanthorn, Pharunyou, Kaewmesri, Pramet, Sriraman, Ramalingam and Lim, Chee Peng 2020, Global Mittag-Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks, Mathematics, vol. 8, no. 3, pp. 1-29, doi: 10.3390/math8030422.

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Title Global Mittag-Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks
Author(s) Rajchakit, Grienggrai
Chanthorn, Pharunyou
Kaewmesri, Pramet
Sriraman, Ramalingam
Lim, Chee PengORCID iD for Lim, Chee Peng orcid.org/0000-0003-4191-9083
Journal name Mathematics
Volume number 8
Issue number 3
Article ID 422
Start page 1
End page 29
Total pages 29
Publisher MDPI AG
Place of publication Basel, Switzerland
Publication date 2020-03-01
ISSN 2227-7390
Summary This 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.
Language eng
DOI 10.3390/math8030422
Indigenous content off
HERDC Research category C1 Refereed article in a scholarly journal
Free to Read? Yes
Persistent URL http://hdl.handle.net/10536/DRO/DU:30136153

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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.