New feedback control techniques of quaternion fuzzy neural networks with time‐varying delay

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New feedback control techniques of quaternion fuzzy neural networks with time‐varying delay

Aouiti, Chaouki; Jallouli, Hediene

International journal of robust and nonlinear control, 10 May 2021, Volume: 31, Issue: 7

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This article addresses the problems of fixed‐time stabilization for a class of quaternion fuzzy neural networks (QFNNs) with time‐varying delay. The QFNNs are developed by dividing our system into four real‐valued parts based on the Hamilton rule. Then, based on fixed‐time stability theory, some inequality techniques, and selecting the appropriate controllers and Lyapunov function, a novel criterion guaranteeing the fixed‐time stabilization and the finite‐time stabilization of the addressed system is derived. Finally, three numerical examples are presented to show the effectiveness of our theoretical results.

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