Results on finite time passivity of fractional-order quaternion-valued neural networks with time delay via linear matrix inequalities

This paper introduces the finite-time passivity (FTP) issue of the fractional-order delayed quaternion-valued neural networks (FOQVNNs). The notions of FTP, finite-time input strict passivity (FTISP), and finite-time output strict passivity (FTOSP) of FOQVNNs are presented on the groud of the existing definitions of FTP of fractional-order neural networks. Then, sufficient criteria to guarantee the FTP (FTISP, FTOSP) of the system are developed utilizing the given definitions, Lyapunov function theory, inequality technique, and an appropriate controller is established. Additionally, the presented finite-time stability criterion and setting-time are according to the concept of FTP. At last, the significance of the theoretical results are tested by a simulation experiment.