STABILITY OF THE CONVEX LINEAR COMBINATION OF POSITIVE LINEAR SYSTEMS
AbstractThe asymptotic stability of the convex linear combination of positive continuous-time and discrete-time linear systems is addressed. Necessary and sufficient conditions for the asymptotic stability of the convex linear combination are established. The notion of diagonal dominant matrices for Metzler matrices and nonnegative real matrices is introduced. It is shown that the convex linear combination is asymptotically stable if its matrices are diagonal dominant.
|Journal series||Asian Journal of Control, ISSN 1561-8625|
|Publication size in sheets||0.5|
|Keywords in English||Asymptotic stability; convex linear combination; Metzler matrix; nonnegative matrix; positive systems|
|Score|| = 25.0, 12-07-2020, ArticleFromJournal|
= 25.0, 12-07-2020, ArticleFromJournal
|Publication indicators||= 2.0; : 2013 = 1.698; : 2014 = 1.556 (2) - 2014=1.52 (5)|
|Citation count*||2 (2015-01-25)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.