Abstract

In this paper we consider a feedback interconnection of two linear time invariant systems, one of which is fixed and the other is uncertain with the uncertainty being a box in the space of coefficients of the numerator and denominator polynomials. This kind of system arises in robust control analysis and design problems. We give several results for the Nyquist plots and stability margins of such families of systems based on the extremal segments of rational functions introduced by Chapellat and Bhattacharyya [1]. These CB segments play a fundamental characterizing role in many control design problems.

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