An explicit solution to polynomial matrix right coprime factorization with application in eigenstructure assignment
Bin ZHOU
Guangren DUAN
摘要：In this paper, an explicit solution to polynomial matrix right coprime factorization of input-state transfer function is obtained in terms of the Krylov matrix and the Pseudo-controllability indices of the pair of coefficient matrices.The proposed approach only needs to solve a series of line ar equations. Applications of this solution to a type of generalized Sylvester matrix equations and the problem of parametric eigenstructure assignment by state feedback are investigated.These new solutions are simple, they possess better structural properties and are very convenient to use. An example shows the effect of the proposed results.
机标关键词：eigenstructure assignmentcoprime factorizationpolynomial matrixSylvester matrix equationsstructural propertiescoefficient matricestransfer functionexplicit solution
分类号：O23(控制论、信息论（数学理论）)
资助基金：国家自然科学基金(69925308)
论文发表日期：2006-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：8( 147-154 )
英文信息