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


Altun Y. , TUNÇ C.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.9, ss.31-41, 2017 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 9 Konu: 4
  • Basım Tarihi: 2017
  • Dergi Adı: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.31-41

Özet

In this work, we get assumptions that guaranteeing the global exponential 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 correctness of the obtained result by MATLAB-Simulink. The obtained result includes and improves the results found in the literature.