Stability analysis of linear systems with a time-varying delay via a new integral inequality

This paper considers the problem of stability of linear systems with a time-varying delay. A more general integral inequality for dealing with delays is introduced in this paper. It is verified that the proposed inequality can be covered some popular inequalities reported recently. A less conservative stability criterion of linear continuous-time systems with a time-varying delay is derived by using the novel inequality. Three numerical examples are shown to illustrate the advantages of the proposed method.