  In this paper we show that the existence of a Lyapunov-Krasovskii functional
is necessary and sufficient condition for the uniform global asymptotic
stability and the global exponential stability of time-invariant systems
described by neutral functional differential equations in Hale's form. It is
assumed that the difference operator is linear and strongly stable, and that
the map in the right-hand side of the equation is Lipschitz on bounded sets. A
link between global exponential stability and input-to-state stability is also
provided. @ The extended version of this paper has been submitted to the
International Journal of Control, Taylor & Francis.
