کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598761 1631104 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Partitions of elements in a monoid and its applications to systems theory
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Partitions of elements in a monoid and its applications to systems theory
چکیده انگلیسی

The feedback class of a locally Brunovsky linear system is fully determined by the decomposition of state space as direct sum of system invariants [2]. In this paper we attack the problem of enumerating all feedback classes of locally Brunovsky systems over an n-dimensional state space and translate to the combinatorial problem of enumerating all the partitions of integer n   in some abelian semigroup. The problem of computing the number ν(n,k)ν(n,k) of all the partitions of integer n into k different summands is pointed out.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 491, 15 February 2016, Pages 161–170
نویسندگان
, ,