Title :
Left conjugate product of polynomial matrices and solutions to the dual Sylvester-conjugate matrix equations
Author :
Ai-guo Wu ; Ye Chen ; Sreeram, Victor ; Wanquan Liu ; Fernando, Tyrone
Author_Institution :
Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China
Abstract :
In this paper, the concept of left conjugate product is first presented. Some interesting properties of the concept are then derived. Using left conjugate product as a tool, we investigate dual Sylvester-conjugate matrix equations which include Lyapunov matrix equations and generalized Sylvester-observer matrix equations as special cases. An explicit solution of this matrix equation is presented with a free parameter matrix.
Keywords :
Lyapunov matrix equations; polynomial matrices; Lyapunov matrix equations; dual-Sylvester-conjugate matrix equations; explicit solution; free parameter matrix; generalized Sylvester-observer matrix equations; left-conjugate polynomial matrix product; Algorithm design and analysis; Australia; Educational institutions; Linear systems; Mathematical model; Polynomials;
Conference_Titel :
Control Conference (AUCC), 2012 2nd Australian
Conference_Location :
Sydney, NSW
Print_ISBN :
978-1-922107-63-3
