Stability analysis and synchronization of incommensurate fractional-order neural netwroks

Abstract

This paper develops a theoretical framework for analyzing the stability of nonlinear incommensurate fractional-
order neural networks. A necessary theorem for asymptotical stability is established using the characteristic
equation for a nonlinear fractional-order system, and how to employ this theorem in stabilization is also
presented. With the suitable control, the difficulties of stabilization and synchronization of fractional-order
chaotic incommensurate fractional-order neural networks may be readily overcome. Two numerical examples have been
shown to demonstrate how the established theory may be used to investigate stability and construct stabilization
controllers.