Global quasi-synchronisation of fuzzy cellular neural networks with time varying delay and interaction terms

Abstract

In this article, the global quasi-synchronisation of fuzzy cellular neural networks (FCNNs) in the presence of interaction terms and time-varying delay has been studied. The quasi-synchronisation criteria of FCNNs have been found with the help of p-norm and inequalities defined in Lemmas 2.1 and 2.2. Under the Lyapunov stability theory, the quasi-synchronisation of fuzzy-based CNNs with time-varying delay and interaction terms is attained using state-feedback controllers. A significant result for the two nonidentical FCNNs with time varying delay and interaction terms is provided. The error bounds of the global quasi-synchronisation have also been estimated. It is also seen that the global quasi-synchronisation of FCNNs is quite new. Two numerical simulation results are given to exhibit the viability and unwavering quality of the obtained results under several conditions.