On the Estimates for Solutions of a Nonlinear Neutral Differential System With Periodic Coefficients and Time-Varying Lag

Abstract

In this paper, we consider a nonlinear neutral differential system with periodic coefficients and time-varying lag. We obtain new estimates to characterize the exponential decay of solutions of that system at +∞ and depending on the norms of the powers of a constant matrix D. To reach the desirable results, we use a Lyapunov-Krasovskii functional and give an example to show applicability of the constructed assumptions. We also use MATLAB-Simulink to show the behaviors of the paths of the solutions of the system considered in the special case. © Palestine Polytechnic University-PPU 2019.