Improved Stability Criteria on Linear Systems with Distributed Interval Time-Varying Delays and Nonlinear Perturbations

The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation delay-decomposition approach. less conservative criteria are obtained by constructing a new augmented Lyapunov–Krasovskii functional various inequalities, which presented in terms matrix inequalities (LMIs). Four numerical examples demonstrated results given to illustrate effectiveness improvement over other methods.