Improved stability criteria for uncertain neutral-type Lur'e systems with time-varying delays

Abstract This paper is concerned with the robust stability of uncertain neutral-type Lur׳e system with time-varying delays and sector bounded nonlinearities. By constructing a modified Lyapunov–Krasovskii functional (LKF), some new robust stability criteria are proposed in terms of linear matrix inequalities (LMIs) without using the general free-weighting matrix method. The criteria are less conservative and more efficiently calculative than some previous ones. Four numerical examples are presented to show the effectiveness and merits of the proposed approach.

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