Stability of polynomials with conic uncertainty
نویسندگان
چکیده
In this paper, we describe a conic approach to the stability theory of uncertain polynomials. We present necessary and sufficient conditions for a conic set p0 + K of polynomials to be Hurwitz stable (K is a convex cone of polynomials of degree ≤ n and deg p0 = n). As analytical tools we derive an edge theorem and Rantzer type conditions for marginal stability (semi-stability). The results are applied to prove an extremal ray result for conic sets whose cone of directions is given by an interval polynomial.
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ورودعنوان ژورنال:
- MCSS
دوره 8 شماره
صفحات -
تاریخ انتشار 1995