new robust stability criteria for uncertain neutral time-delay systems with discrete and distributed delays

In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. by constructing an augmented lyapunov-krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the delay bi-decomposition approach then generalized with the delay n-decomposition technique. some integral inequalities are employed to deal with the cross terms and few free weighing matrices are introduced to reduce the conservatism. the proposed criteria are expressed in terms of linear matrix inequalities. the effectiveness of the proposed stability conditions is illustrated by a numerical example.