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On stability of electronic circuits

In this paper, a necessary and sufficient condition for robust stability of electronic circuits at high frequency which contain differential pair (emitter-coupled pair) is proposed. In fact, when emitter-coupled pairs are used as one input signal - one output signal, they have uncertainty in their transfer functions at high frequency. Even as will be shown, this uncertainty can be caused instability in closed loop electronic circuits at high frequency. The uncertainty will be modeled as multiplicative perturbation in the transfer function of the differential pair at high frequency. Based on this uncertainty model, a necessary and sufficient condition for robust stability of above electronic circuits at high frequency will be presented. This condition guarantees internal stability of electronic circuits at high frequency with respect to above uncertainty.