کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602582 1336930 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality results for the joint spectral radius and transient behavior
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Duality results for the joint spectral radius and transient behavior
چکیده انگلیسی

For linear inclusions in discrete or continuous time several quantities characterizing the growth behavior of the corresponding semigroup are analyzed. These quantities are the joint spectral radius, the initial growth rate and (for bounded semigroups) the transient bound. It is discussed how these constants relate to one another and how they are characterized by various norms. A complete duality theory is developed in this framework, relating semigroups and dual semigroups and extremal or transient norms with their respective dual norms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 10, 1 May 2008, Pages 2368-2384