  A Small-Gain Theorem, which can be applied to a wide class of systems that
includes systems satisfying the weak semigroup property, is presented in the
present work. The result generalizes all existing results in the literature and
exploits notions of weighted, uniform and non-uniform Input-to-Output Stability
(IOS) property. Applications to partial state feedback stabilization problems
with sampled-data feedback applied with zero order hold and positive sampling
rate, are also presented.
