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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A few results concerning the Hurwitz stability of polytopes of complex polynomials
چکیده انگلیسی

Let Cf1,…,fm be a polytope generated by complex polynomials f1,…,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,…,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 Białas (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
نویسندگان
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