Abstract

The robust stability of uncertain linear neutral systems with discrete and distributed delays is investigated. The uncertainties under consideration are norm bounded, and possibly time-varying. A new method based on the equivalent equation of zero and the Leibniz–Newton formula in the derivative of the Lyapunov–Krasovskii function is put forward, the proposed stability criteria are formulated in the form of a linear matrix inequality and it is easy to check the robust stability of the considered systems. Numerical examples illustrate that the proposed criteria are effective and achieve significant improvement over the results proposed in some previous paper.

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