The classical results of Routh and Hurwitz on the stability of polynomials are generalized from the open left half plane to certain other subregionsGof the complex plane. By our method, arbitrary conic sections can be handled. The results are interpreted as criteria forG-stability of linear systems. A numerical algorithm to compute the criteria is given. An application to a problem in robust controller design is outlined.
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K.-P. Sondergeld (1983) studied this question.
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