Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays

This paper considers the robust stability problem for uncertain neutral systems with discrete and distributed delays. Using new augmented Lyapunov-Krasovskii (L-K) functional and some integral inequalities, the less conservative stability and robust stability conditions are well established in terms of linear matrix inequalities (LMIs). Different from the existing L-K functionals, the constructed L-K functional in this paper contains some interconnected terms, which reflect the relationships between discrete delay, neutral delay and distributed delay, and contribute to reduce the possible conservatism. As a special case, stability and robust stability conditions are also proposed in this paper for uncertain linear systems with discrete and distributed delays. Finally, numerical examples illustrate the effectiveness and reduced conservatism of the proposed conditions in this paper.