Abstract
In this paper, basing on the theory of matricial Hamburger moment problems, we establish the intrinsic connections between the quasi-stability of a monic or comonic matrix polynomial and the Stieltjes property of a rational matrix-valued function built from the even–odd split of the original matrix polynomial. As applications of these connections, we obtain some new criteria for quasi-stable matrix polynomials and Hurwitz stable matrix polynomials, respectively.
Funder
the Scientific Research Fund from Beijing Normal University at Zhuhai, China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference29 articles.
1. The Bezoutian and the eigenvalue-separation problem for matrix polynomials;Integral Equ. Oper. Theory,1982
2. Stability of matrix polynomials;Internat. J. Control,1977
3. Stabilisation of matrix polynomials;Internat. J. Control,2015
4. Gohberg, I., Lancaster, P., and Rodman, L. (1982). Matrix Polynomials, Academic Press.
5. Positive polynomial matrices and improved LMI robustness conditions;Automatica,2003
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the quasi-stability criteria of monic matrix polynomials;Journal of Computational and Applied Mathematics;2024-03