کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599282 | 1631128 | 2015 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices
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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 C=A+jB be a complex interval matrix, where A,BâRnÃn are real interval matrices, and j2=â1; denote by D+ the set of positive definite diagonal nÃn matrices. The Schur [respectively Hurwitz] diagonal stability of C, abbreviated as SDS [respectively HDS], is defined in terms of the Stein [respectively Lyapunov] inequality associated with a generic matrix CâC; the inequality must have a common solution QâD+ for all CâC. The paper develops two types of results for the SDS [respectively HDS] analysis, which exploit different properties of C. Each type of results presents (i) a sufficient condition relying on the solvability of a matrix norm inequality (SDS analysis) or a matrix measure inequality (HDS analysis); (ii) a construction procedure for a concrete matrix that satisfies the inequality at (i), and, concomitantly, yields a common solution QâD+. For some particular cases, both necessary and sufficient conditions can be derived. The Schur and Hurwitz approaches are developed in parallel, for concision reasons, as well as for emphasizing the similarities. Numerical examples illustrate the applicability of the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 467, 15 February 2015, Pages 149-173
Journal: Linear Algebra and its Applications - Volume 467, 15 February 2015, Pages 149-173
نویسندگان
Octavian Pastravanu, Mihaela-Hanako Matcovschi,