Simplifying the computation of the frequency response of systems affinely depending on uncertain parameters

Four formulas to compute the maximal and minimal (max-min) magnitudes and phases of an edge plant at a fixed frequency are given in this paper. Simple expression and easy computation are their main characteristics. The direct application of the results is to compute the Bode and Nyquist plot collections of systems affinely depending on uncertain parameters, which are needed in robustness analysis and design.