Projective synchronization in finite-time for fully quaternion-valued memristive networks with fractional-order

Abstract Based on the non-separation method, the finite-time projective synchronization of fractional-order quaternion-valued memristive networks with discontinuous activation functions is investigated in this paper. Firstly, the sign function related to quaternion is introduced and some properties concerning it are developed. Secondly, two different quaternion-valued controllers are designed by feat of the proposed sign function. Subsequently, several synchronization conditions are derived and the settling times are evaluated validly by the established finite-time fractional-order inequality. Especially noteworthy is that the addressed networks are converted into systems with parametric uncertainty in the framework of differential inclusion and measurable selection. Finally, a numerical example is given to demonstrate the correctness of theoretical analyses.

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