Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633601 | Applied Mathematics and Computation | 2009 | 10 Pages |
Abstract
Closed form solutions to a family of generalized Sylvester matrix equation in form of âi=0ÏAiXFi+âi=0ÏBkYFk=âj=0ÏEjRFj are given by using the so-called Kronecker matrix polynomials. It is found that the structure of the solutions is independent of the orders Ï,Ï and Ï. This type of uniform closed form solutions includes our early results as special cases. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems in linear systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bin Zhou, Zhao-Yan Li, Guang-Ren Duan, Yong Wang,