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Stability of convex linear combinations of continuous-time and discrete-time linear systems
- Source :
- Archives of Control Sciences, Vol vol. 33, Iss No 4, Pp 789-799 (2024)
- Publication Year :
- 2024
- Publisher :
- Polish Academy of Sciences, 2024.
-
Abstract
- The asymptotic stability of the convex linear combination of continuous-time and discretetime linear systems is considered. Using the Gershgorin theorem it is shown that the convex linear combination of the linear asymptotically stable continuous-time and discretetime linear systems is also asymptotically stable. It is shown that the above thesis is also valid (even simpler) for positive linear systems.
Details
- Language :
- English
- ISSN :
- 12302384
- Volume :
- . 33
- Issue :
- 4
- Database :
- Directory of Open Access Journals
- Journal :
- Archives of Control Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.27d2ecaafa04fbc9c290d2cf57dd5a3
- Document Type :
- article
- Full Text :
- https://doi.org/10.24425/acs.2023.148881