New stability criterion of uncertain systems with time-varying delay

In this paper, the stability problem of uncertain systems with arbitrarily time-varying delay is considered. Based on new Lyapunov–Krasovskii functionals and novel methods to deal with uncertainties and cross-terms, stability conditions are proposed for such systems in terms of linear matrix inequalities (LMIs), which are simpler and less conservative than existing results. A numerical example is given to illustrate our theoretical result.