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

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.24425/acs.2023.148881

• Języki publikacji: EN

Abstrakty

EN

The asymptotic stability of the convex linear combination of continuous-time and discrete-time 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.

Słowa kluczowe

EN

convex linear combination; linear system; continuous-time; discrete-time; positive; system; stability

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 4
• Strony: 789--799
• Opis fizyczny: Bibliogr. 19 poz., rys., wzory

Twórcy

autor

Kaczorek Tadeusz

• Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland

• https://orcid.org/0000-0002-1270-3948

Bibliografia

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Uwagi

The studies have been carried out in the framework of work No. WZ/WE-IA/5/2023.