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Based on the established new-type exponential stability theorem for general retarded dynamical systems and two preliminary lemmas,less conservative stability conditions for linear systems with multiple time-varying delays are established by using the new stability analysis approach of Lyapunov function.Unlike some results in the literature,none of the established results depends on the derivatives of the time-varying delays.Therefore,the results are suitable to the cases with very fast time-varying delays.An example is provided to show that the stability conditions obtained are better than the ones obtained directly based on the standard Razumikhin-type condition in the literature.
Based on the established new-type exponential stability theorem for general retarded dynamical systems and two preliminary lemmas, less conservative stability conditions for linear systems with multiple time-varying delays are established by using the new stability analysis approach of Lyapunov function. Like-of-some results in the literature, none of the established results depends on the derivatives of the time-varying delays.Therefore, the results are suitable to the cases with very fast time-varying delays. An example is provided to show that the stability conditions obtained are better than the ones obtained directly based on the standard Razumikhin-type condition in the literature.