Matrix measure and application to stability of matrices and interval dynamical systems
Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended. We present a relationship bet...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203202295 |
| id |
doaj-2390d959821c483993c4428ceff50b07 |
|---|---|
| record_format |
Article |
| spelling |
doaj-2390d959821c483993c4428ceff50b072020-11-24T21:23:47ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-0120032758510.1155/S0161171203202295Matrix measure and application to stability of matrices and interval dynamical systemsZiad Zahreddine0Department of Basic Sciences, College of Arts and Sciences, University of Sharjah, P.O. 27272, Sharjah, United Arab EmiratesUsing some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended. We present a relationship between the matrix measure and the real parts of the eigenvalues that make it possible to obtain stability criteria.http://dx.doi.org/10.1155/S0161171203202295 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ziad Zahreddine |
| spellingShingle |
Ziad Zahreddine Matrix measure and application to stability of matrices and interval dynamical systems International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Ziad Zahreddine |
| author_sort |
Ziad Zahreddine |
| title |
Matrix measure and application to stability of matrices and interval dynamical systems |
| title_short |
Matrix measure and application to stability of matrices and interval dynamical systems |
| title_full |
Matrix measure and application to stability of matrices and interval dynamical systems |
| title_fullStr |
Matrix measure and application to stability of matrices and interval dynamical systems |
| title_full_unstemmed |
Matrix measure and application to stability of matrices and interval dynamical systems |
| title_sort |
matrix measure and application to stability of matrices and interval dynamical systems |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
Using some properties of the matrix measure, we obtain a general
condition for the stability of a convex hull of matrices that
will be applied to study the stability of interval dynamical
systems. Some classical results from stability theory are
reproduced and extended. We present a relationship between the
matrix measure and the real parts of the eigenvalues that make it
possible to obtain stability criteria. |
| url |
http://dx.doi.org/10.1155/S0161171203202295 |
| work_keys_str_mv |
AT ziadzahreddine matrixmeasureandapplicationtostabilityofmatricesandintervaldynamicalsystems |
| _version_ |
1725991198511857664 |