Results on stability of linear systems with time varying delay

The integral inequality approach has been widely used to obtain delay‐dependent stability criteria for dynamic systems with delays, and finding integral inequalities for quadratic functions hence plays a key role in reducing conservatism of corresponding stability conditions. In this study, an improved integral inequality which covers several well‐known integral inequalities is introduced, and improves thereby stability for linear systems with time‐varying delay. Three numerical examples are given to demonstrate the effectiveness and superiority of the proposed method.