Discrete-time Mittag–Leffler state estimation for fractional-order quaternion memristive neural networks

Résumé fourni par la source

This article investigates the state estimation of fractional-order memristive systems with discrete-time terms. By considering discrete fractional calculus, we propose a novel and efficient criterion for ensuring the global Mittag-Leffler stability of the estimation error system. Additionally, by utilizing a functional that incorporates a discrete fractional sum element, we derive the stability condition for the concerned system. It is noteworthy that the proposed approach integrates a vector optimization method, which enhances the understanding of how to construct a meaningful convex closure formed by quaternions. Finally, numerical simulations are conducted to validate the theoretical results.

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