Estimating the delay margin for stability of linear delay systems by the weighted matrix measure

Abstract

In this paper, the delay margin problem of a linear system with multiple delays is investigated. Estimations for allowable delay bounds of the system are provided in the form of matrix measure. By means of the weighted matrix measure and optimization technologies, the conservatism of estimated delay bounds is reduced. Numerical examples show that the weighted matrix measure has better performance in estimating the delay margin of the system than usual matrix measures.