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IMA Journal of Mathematical Control and Information 1996 13(4):321-333; doi:10.1093/imamci/13.4.321
© 1996 by Institute of Mathematics and its Applications
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A root-distribution criterion for an interval polynomial in a sector

A. LEVKOVICH, N. COHEN and E. ZEHEB

Department of Electrical Engineering, Technion—Israel Institute of Technology Haifa 32000, Israel

A simple test is proposed for checking whether a given interval polynomial F of degree n has robust root distribution with respect to a given symmetric sector in the complex plane. The test amounts to checking the real roots of at most 2n real polynomials with fixed coefficients, of degree n. The test is based on a detailed analysis of the value set F(s) as s travels along the sector boundary. A simple algorithm for implementing this test, and an example, are also provided.


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