zbMATH — the first resource for mathematics

On delay-independent stability criteria: A matrix-pencil approach. (English) Zbl 0886.93056
This paper discusses asymptotic stability of a linear system of differential equations with delay, which is $\dot x(t)= Ax(t)+ A_d x(t-\tau).$ Some sufficient delay-independent stability conditions are derived in terms of some algebraic properties of an adequate matrix pencil via a Lyapunov-Krasovskij functional-based approach.
The result is also extended to the case when a memoryless control input is considered.

MSC:
 93D20 Asymptotic stability in control theory 34K20 Stability theory of functional-differential equations
Full Text: