Abstract
In this paper, the investigation of the asymptotical stability of linear neutral systems with time‐varying delay has been presented. In order to achieve the desired results, the integral inequality approach was used to express relationships between terms of Newton‐Leibniz formula technique and was constructed an appropriate Lyapunov‐Krasovskii functional. By improving a delay decay approach, the stability criteria for the zero solution of system were formulated as linear matrix inequalities (LMIs) which can be easily solved. Two numerical examples have been given to show the applicability of established assumptions and the effectiveness of proposed method by MATLAB‐Simulink.
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