Abstract: Consider robust absolute stability for nonlinear closed-loop systems in which the linear parts are subjected to structured perturbations and described by interval transfer functions while the nonlinear (uncertain) feedback functions lie in a sector. Combining modern results on robustness analysis and the classical circle criterion, we present a criterion to examine, the robust absolute stability of the systems mentioned above. Our criteria only use the frequency-domain properties of the 16 transfer functions specifically choose within the interval transfer functions. When the perturbations in the linear parts occur only on the numerators or denominators of the transfer function, it is enough to use 4 specific transfer functions. In this way, computational complexity in the original problem is reduced to an extremely low level.