Abstract
The robust stability in a class of uncertain linear neutral systems with time-varying delays is studied. Through choosing multiple integral Lyapunov terms and using some novel integral inequalities, a much tighter estimation on derivative of Lyapunov–Krasovskii (L–K) functional is presented and two stability criteria are expressed in terms of linear matrix inequalities, in which those previously ignored information can be considered. In particular, the proposed Lyapunov technique can effectively consider the interconnection between neutral delay and state one. Finally, two numerical examples with comparing results can show the application area and benefits of the proposed conditions.
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