Abstract

Abstract This paper is a revision of two papers concerning the D-stability of control systems. In the first part the D-stability of a polynomial is investigated, Thereby the domain D is defined by a rational function f(jω), A criterion for the polynomial p(s) to be D-stable is derived in tile frequency domain using the Nyquist criterion These results are extended to the D-stability of a family of interval polynomials in the second part of the paper. A test for the stability domain D to be a Kharitonov region. i.e., a region where the stability of the family of polynomials follows from the stability of all vertex polynomials, is presented

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