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. Attached Files Name Description MIMEType Size Downloads 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 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 Document type: Journal Article Collections: Institute for Intelligent Systems Research and Innovation (IISRI) Open Access Collection GTP Research Related Links Link Description Link to full-text (open access)     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. 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. Versions Version Filter Type Thu, 16 Apr 2020, 06:17:57 EST Fri, 17 Apr 2020, 05:00:12 EST Fri, 17 Apr 2020, 07:56:23 EST Sat, 03 Oct 2020, 06:02:30 EST Tue, 06 Oct 2020, 08:29:13 EST Tue, 06 Oct 2020, 08:31:31 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 5 times in Scopus Search Google Scholar Access Statistics: 28 Abstract Views, 0 File Downloads  -  Detailed Statistics Created: Thu, 16 Apr 2020, 06:17:57 EST

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