Stability of convex linear combinations of continuous-time and discrete-time linear systems

Autor: Tadeusz Kaczorek
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 33, Iss No 4, Pp 789-799 (2024)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2023.148881
Popis: 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.
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