Transformations of linear standard systems to positive asymptotically stable linear ones

• Autorzy: Kaczorek, Tadeusz
• Języki publikacji: EN

Abstrakty

EN

New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation matrix can be chosen in block diagonal form. Procedures for the computation of the transformation matrices are proposed and illustrated with simple numerical examples.

Słowa kluczowe

PL

stabilność asymptotyczna; układ dodatni; układ ciągły dodatni

EN

asymptotical stability; positive system; continuous time system; linear system

• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2024
• Tom: Vol. 34, no. 3
• Strony: 341--348
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Kaczorek, Tadeusz

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

Bibliografia

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• [15] Sajewski, Ł. (2018). Decentralized stabilization of descriptor fractional positive discrete-time linear systems with delays, in R. Szewczyk et al. (Eds), Advances in Automation, Robotics and Measurement Techniques Advances in Intelligent Systems and Computing, Vol. 743, Springer, Cham, pp. 276-287, DOI:10.1007/978-3-319-77179-3_26.
• [16] Sajewski, L. (2017) Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller, Bulletin of the Polish Academy of Sciences: Technical Sciences 65(5): 709-714.
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Identyfikatory

DOI

10.61822/amcs-2024-0024