ON THE GLOBAL STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE TIME-LAGS

摘要

In this work, we get assumptions that guaranteeing the global ex-ponential stability (GES) of the zero solution of a neutral differential equation (NDE) with time-lags. By help of the Liapunov-Krasovskii functional (LKF) approach, we obtain a new result related (GES) of the zero solution of the studied (NDE). An example is given to illustrate the applicability and cor-rectness of the obtained result by MATLAB-Simulink. The obtained result includes and improves the results found in the literature.