On simplified Hurwitz stability conditions for low-degree weighted diamond polynomials |
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| Authors: | Naohisa Otsuka Takashi Okada |
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| Institution: | a Department of Information Sciences, Tokyo Denki University, Hatoyama-Machi, Hiki-Gun, Saitama 350-0394, Japan;b Mobile System Operations Divisions, Hitachi Kokusai Electric Inc., Shinmeidai 2-1-1, Hamura-shi, Tokyo 205-8606, Japan |
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| Abstract: | In this paper, the results on the stability of a weighted diamond of polynomials which was studied by Kharitonov and Tempo (Systems Control Lett. 22 (1994)) are simplified for low-order polynomials. Specifically, for n=3 and 4, the number of polynomials required to check the stability is four and six, respectively, instead of eight. Further, diamond of polynomials which were studied by Barmish et al. (IEEE Trans. Automat. Control AC-37 (9) (1992)) are also investigated. |
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| Keywords: | Robust stability Weighted diamond polynomials Hurwitz stability |
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