Global mittag-leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks
© 2020 by the authors. 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-...
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| Main Authors: | , , , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85082418436&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70723 |
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| Institution: | Chiang Mai University |
| Summary: | © 2020 by the authors. 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. |
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