کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401397 675351 2009 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem
چکیده انگلیسی

This paper presents an algebraic approach to polynomial spectral factorization, an important mathematical tool in signal processing and control. The approach exploits an intriguing relationship between the theory of Gröbner bases and polynomial spectral factorization which can be observed through the sum of roots, and allows us to perform polynomial spectral factorization in the presence of real parameters. It is discussed that parametric polynomial spectral factorization enables us to express quantities such as the optimal cost in terms of parameters and the sum of roots. Furthermore an optimization method over parameters is suggested that makes use of the results from parametric polynomial spectral factorization and also employs two quantifier elimination techniques. This proposed approach is demonstrated in a numerical example of a particular control problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 44, Issue 7, July 2009, Pages 703-725