On delay-independent stability criteria A matrix-pencil approach

This paper focuses on the problem of asymptotic stability of a linear system described by delay-differential equations. Sufficient delay-independent stability conditions are derived in terms of some algebraic properties of an adequate matrix pencil via a Lyapunov-Krasovskii functional-based approach. The criteria proposed here are less conservative than similar ones proposed in the literature. The result is also extended to the case when a memoryless control input is considered