Transformations of the matrices of the fractional linear systems to their canonical stable forms

Transformations of the matrices of the fractional linear systems to their canonical stable forms

A new approach to the transformations of the matrices of the fractional linear systems with desired eigenvalues is proposed. Conditions for the existence of the solution to the transformation problem of the linear system to its asymptotically stable controllable and observable canonical forms with d...

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Veröffentlicht in:Fractional calculus & applied analysis 2024-06, Vol.27 (3), p.1471-1482
Hauptverfasser: Kaczorek, Tadeusz, Sajewski, Lukasz
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Functional Analysis
Integral Transforms
Mathematics
Mathematics and Statistics
Operational Calculus
Original Paper
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Zusammenfassung:A new approach to the transformations of the matrices of the fractional linear systems with desired eigenvalues is proposed. Conditions for the existence of the solution to the transformation problem of the linear system to its asymptotically stable controllable and observable canonical forms with desired eigenvalues are given and illustrated by numerical examples of fractional linear systems.
ISSN:1311-0454
1314-2224
DOI:10.1007/s13540-024-00271-7