New Delay-Partitioning LK-Functional for Stability Analysis with Neutral Type Systems

This paper investigates the stability issues associated with neutral-type delay systems. Firstly, delay-partitioning method is employed to construct a brand-new LK-functional candidate. The discrete and neutral are divided into several piecewise points through relaxable sequence of constant numbers, increasing at steady rate not larger than 1. Secondly, fully use interconnection information among delayed state vectors, new constructed. Thirdly, recently published single/multiple integral inequalities bound derivative newly developed LK function. Finally, novel criterion for systems based on above treatment. Furthermore, corollary also proposed condition τ=h. benefits productivities our demonstrated by numerical examples.