Robust stability analysis of a class of neutral type time delay equations

摘要

In this contribution the robust stability of a class of linear neutral type time delay equations with bounded uncertain coefficients is analyzed via Lyapunov-Krasovskii functionals of complete type. For any exponentially stable nominal systems, we are able to present bounds on the uncertainties that guarantee the stability of the perturbed system. The quadratic Lyapunov-Krasovskii functionals of complete type for scalar neutral type time delay equations depend on the so-called Lyapunov function for neutral time delay systems. Thus, the sufficient robust stability conditions depend on the Lyapunov function.