FURTHER RESULTS ON THE STABILITY OF DISCRETE-TIME MATRIX POLYNOMIALS

Authors
HMAMED A TISSIR E
Citation
A. Hmamed et E. Tissir, FURTHER RESULTS ON THE STABILITY OF DISCRETE-TIME MATRIX POLYNOMIALS, International Journal of Systems Science, 29(8), 1998, pp. 819-821
Citations number
12
Categorie Soggetti
Computer Science Theory & Methods","Operatione Research & Management Science","Computer Science Theory & Methods","Operatione Research & Management Science","Robotics & Automatic Control
Journal title
International Journal of Systems Science → ACNP
ISSN journal
00207721
Volume
29
Issue
8
Year of publication
1998
Pages
819 - 821
Database
ISI
SICI code
0020-7721(1998)29:8<819:FROTSO>2.0.ZU;2-O
Abstract
This paper concentrates on the stability of discrete-time systems. The stability of the system is deduced from the roots of the determinant of a matrix polynomial of nth order. New and less restrictive conditio ns than those published previously are derived to ensure that roots of the determinant of the matrix polynomial are located inside the unit circle. The conditions are given in terms of the spectral radius of ma trix constructed from the coefficient matrices. Examples are given for illustration.