Complete and finite-time synchronization of fractional-order fuzzy neural networks via nonlinear feedback control

The issues of complete synchronization (CS) and finite-time synchronization (F-TS) for a class of fractional-order fuzzy neural networks are addressed based on nonlinear feedback control in this paper. First, a fractional-order finite-time convergence principle is established by virtue of fractional calculus basic theory and reduction to absurdity. Next, two novel nonlinear controllers, namely the adaptive nonlinear controller and discontinuous nonlinear controller, are designed. Then some easily validated criteria to guarantee CS and F-TS are derived with the help of some useful analysis techniques and our newly established convergence principle. Moreover, the settling time of F-TS is effectively estimated. Finally, some numerical results are presented to show the validity of derived theoretical results. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper addresses the issues of complete synchronization (CS) and finite-time synchronization (F-TS) for a class of fractional-order fuzzy neural networks based on nonlinear feedback control. It establishes a fractional-order finite-time convergence principle and designs two novel nonlinear controllers. Criteria to guarantee CS and F-TS are derived with the help of analysis techniques and the newly established convergence principle, and the settling time of F-TS is effectively estimated.