Design of a passification controller for uncertain fuzzy Hopfield neural networks with time-varying delays

Rathinasamy Sakthivel, Kalidass Mathiyalagan, Selvaraj Marshal Anthoni · Physica Scripta · 2011

This paper addresses the problem of controller design for passivity of uncertain fuzzy Hopfield neural networks with time-varying delays. The main purpose of this paper is to design a state feedback fuzzy controller such that the resulting closed-loop system is passive. A new set of sufficient conditions are derived for achieving the required result by employing the Lyapunov functional method and matrix analysis technique. The derived criteria are expressed in terms of linear matrix inequalities that can be easily checked using standard numerical software. Two numerical examples with simulation results are given to illustrate the effectiveness and conservatism of the obtained results.

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