Mean square exponential stability for discrete-time stochastic fuzzy neural networks with mixed time-varying delay

Abstract

This paper concerns with the passivity and mean square exponential stability problems for discrete-time stochastic fuzzy neural network with parameter uncertainties based on an interval type-2 (IT2) fuzzy model. For the nonlinear stochastic fuzzy neural network, novel sufficient conditions are presented by linear matrix inequalities (LMIs) to guarantee the passivity and mean square exponential stability of the resulting system, and the parameter uncertainties are handled via the IT2 fuzzy model approach. The main contribution of this paper is that we first propose the IT2 T–S discrete-time stochastic fuzzy neural network. Finally, a numerical example is provided to testify the effectiveness of the proposed scheme.