On exponential stability of solutions of nonlinear neutral differential systems with discrete and distributed variable lags

Abstract

In this paper, we investigated the exponential stability for nonlinear neutral differential system with multiple retarded arguments. To reach the desired results, we used a Lyapunov-Krasovskii functional for exponential stability criterions of the zero solution of system. These stability criteria obtained are formulated as matrix inequalities which can be easily solved. The results obtained in this study extend and improves some related ones in the literature.