کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
756440 896172 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new method for solving Bezout equations over 2-D polynomial matrices from delay systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A new method for solving Bezout equations over 2-D polynomial matrices from delay systems
چکیده انگلیسی

In the algebraic system theory of delay systems, it is well known that under spectral controllability or canonicity, a Bezout equation set up with a coprime pair of 2-D polynomial matrices has a solution in polynomial matrices with coefficient belonging to a ring of entire functions. We propose a new method for solving such Bezout equations. The basic concept involves the reduction of a Bezout equation over 2-D polynomial matrices to a simple scalar equation over 1-D polynomials. Due to the basic concept, it can be used to calculate a solution even by hand and is particularly efficient in the absence of modern computer algebra systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 61, Issue 6, June 2012, Pages 723–729
نویسندگان
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