Abstract: Based on the linear matrix inequalities and considering the different effects of change rate of time varying delay on stability, two criteria for exponential stability are set up, i.e. the criterion that just depends on the upper bound of the delay and the criterion that depends wholly on the delay information. The two stability criteria obtained can be adaptable to either quickly changed or slowly changed time varying delay, thus providing wider applications, less conservativeness and verification easy to do, and with some remarks given and in comparison to the results in earlier works, simulations were done to exemplify the effectiveness of the proposed approaches.