کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416795 1336872 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
چکیده انگلیسی

Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix multiplicative semigroup S+ restricted to a subset that need not carry the algebraic structure of S+ This generalizes the Berger-Wang formula. Using it as a tool, we study the absolute exponential stability of a linear switched system driven by a compact subshift of the one-sided Markov shift associated to S.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1099-1113
نویسندگان
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