A novel stability criterion for systems with interval time-varying delay and nonlinear perturbations

This paper focuses on the stability analysis of linear systems with interval time-varying delay and nonlinear perturbations. New stability criteria for the class of systems are obtained by combining Jensen inequality and delay dividing approach. As by-products, robust stability criterion ate presented when the lower bound of time delay is zero or the nonlinear perturbations are absent. It is mathematical investigated that the robust stability criteria proposed in this paper are less conservative than those in [1], and remove simultaneously the free-weighting matrices required in Zhang and Care´ results. Numerical examples show that the new method is effective than some previous approaches.