On delay-independent stability criteria: a matrix-pencil approach

This paper focuses on the problem of asymptonic stability of a linear system describrd by delay–differential equations. Sufficient delay-independent stability conditions are derived in terms of some algebric 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 results is also extended to the case when a memoryless control input is considered.