Quasi-state estimation and quasi-synchronization control of quaternion-valued fractional-order fuzzy memristive neural networks: Vector ordering approach

Abstract This paper is dedicated to investigate the quasi-estimation and quasi-synchronization control of the fractional-order fuzzy memristive neural networks. By starting from the quaternion-valued algorithms, a fractional-order quaternion-valued memristive model is obtained, then, through the appropriate controllers, the corresponding quasi-estimation and quasi-synchronization control issues are considered. It is noteworthy that, to derive the corresponding conclusions, the vector ordering approach is employed, thus, one can compare the “magnitude” of two quaternions, and the closed convex hull derived by the quaternion-valued connections can be derived correspondingly. Finally, example is raised to test the proposed scheme.

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