Abstract:
We consider a class of linear systems of delay differential equations with periodic coefficients. We establish conditions on the perturbations of the coefficients under which the exponential stability of the zero solution is preserved and obtain estimates characterizing the exponential decay of solutions to the perturbed systems at infinity.
Keywords:time-delay systems of neutral type, periodic coefficients, robust stability, Lyapunov–Krasovskii functional, Lyapunov differential equation.