Stabilization of retarded systems of neutral type by control Lyapunov-Krasovskii functionals

This paper deals with the stabilization and the practical stabilization of nonlinear systems described by neutral functional differential equations in Hale's form, affine in the control input. Artstein's methodology and Sontag's universal formula are investigated for this class of systems, by means of invariantly differentiable control Lyapunov-Krasovskii functionals.