A New Result on the Exponential Stability of Solutions of Non-Linear Neutral Type Periodic Systems With Variable Delay

Abstract

In this work, we consider a nonlinear time-varying delay system of neutral type differential equations with periodic coefficients and we obtain new sufficient conditions to ensure exponentially stability of zero solution of this system. The Lyapunov-Krasovskii functional approach is useful as a basic tool to prove the main general result of this paper.