Quasi-uniform synchronization of fractional fuzzy discrete-time delayed neural networks via delayed feedback control design

Abstract

This paper is concerned with the quasi-uniform synchronization (Q-US) issues of discrete fractional fuzzy neural networks (DFFNNs) with time delays. Firstly, we analyze the neural network systems with fuzzy time delays in discrete cases, complementing the neglected factors in the current literatures. Secondly, we use discrete fractional calculus including discrete Hölder inequality, discrete Gronwall inequality, and the discrete Lyapunov functional method to enrich the discrete system analysis. In addition, to acquire the Q-US, the designed delay feedback controller has the advantage of handling complex time delays to promote the response of the system. Moreover, the obtained results presented as direct linear matrix inequalities are efficiently verified by the simulation example.