Improved delay-range-dependent stability criteria for systems with interval time-varying delay and nonlinear perturbations

In this paper, we consider the problem of robust delay-dependent stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. Less conservative stability criteria is put forward by using Lyapunov-Krasovskii functional approach. Based on delay-central point approach, introducing some free-weighting matrices and using tighter integral inequality for dealing with the cross-terms that emerge from the time derivative of the Lyapunov-Krasovskii functional, new less conservative stability criteria for the system is formulated in terms of linear matrix inequalities .Numerical examples are given to show the effectiveness of the proposed approach.

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