Robust stability analysis of a class of uncertain neutral T–S fuzzy systems with time delay

摘要

We consider the problem of the robust stability of a class of uncertain T–S fuzzy neutralrnsystems with time delay under time-varying parametric uncertainties using thernLyapunov–Krasovskii approach, where the parametric uncertainty is assumed to be normrnbounded. By choosing a new Lyapunov–Krasovskii function, we are able to propose lessrnconservative robust stability criteria in terms of linear matrix inequalities (LMIs) such thatrnthe uncertain T–S fuzzy neutral system under consideration remains asymptotically stable.rnThe reduced conservatism of the proposed stability criterion compared with recentlyrnreported results is attributed to our using the Jensen inequality. The obtained results canrnalso reduce the computational complexity.