Research ArticleImproved results on delay-interval-dependent robust stability criteria for uncertain neutral-type systems with time-varying delays

- This paper has presented improved delay-interval-dependent robust stabilization criterion for uncertain neutral-type time-varying delays systems.
- The delay interval is divided into two subintervals with an unequal width, which is different from the existing methods.
- Much less conservative delay-interval-dependent robust stability criteria are derived compared with existing methods.

In this paper, we consider the problem of delay-interval-dependent robust stability and stabilization of a class of linear uncertain neutral-type systems with time-varying delay. By constructing a candidate Lyapunov-Krasovskii functional (LKF), that takes into account the delay-range information appropriately, less conservative robust stability criteria are proposed in terms of linear matrix inequalities (LMIs) to compute the maximum allowable upper bounds (MAUB) for the delay-interval within which the uncertain neutral-type system under consideration remains asymptotically stable. The verifiable stabilizability conditions and memoryless state feedback control design are stated. Finally, numerical examples are also designated to demonstrate the effectiveness and reduced conservatism of the developed results.