کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416803 | 1336872 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A few results concerning the Hurwitz stability of polytopes of complex polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let Cf1,â¦,fm be a polytope generated by complex polynomials f1,â¦,fm whose degrees differ at most by one. The main goal of this note is to provide a tool for verifying whether a polynomial family Cf1,â¦,fm is stable. The note extend a few important results of the robust stability theory (the Edge Theorem given by Bartlett et al. (1988) [5], its generalizations proposed by Sideris and Barmish (1989) [7] and Fu and Barmish (1989) [6] and the eigenvalue criterions of BiaÅas (1985, 2004) [4,11]) to more general cases concerning complex polynomial families without degree-invariant assumptions. Numerical examples are presented to complete and illustrate the results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1177-1188
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1177-1188
نویسندگان
StanisÅaw BiaÅas, MichaÅ Góra,