Work

Global Mittag–Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks

Year: 2020

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math8030422

Authors: Grienggrai Rajchakit, Pharunyou Chanthorn, Pramet Kaewmesri, Ramalingam Sriraman, Chee Peng Lim

Institutions: Maejo University, Chiang Mai University, King Mongkut's University of Technology Thonburi, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Deakin University

Language: English

Topic: Neural Networks Stability and Synchronization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,267

Funder: Chiang Mai University