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  4. Domination in linear fractional-order distributed systems

Domination in linear fractional-order distributed systems

MMC.
2024;
Volume 11, Number 2
: pp. 455–462
https://doi.org/10.23939/mmc2024.02.455
Received: December 26, 2023
Revised: June 11, 2024
Accepted: June 13, 2024

Hizazi H., Amissi C., Lhous M., Magri E. M.  Domination in linear fractional-order distributed systems.  Mathematical Modeling and Computing. Vol. 11, No. 2, pp. 455–462 (2024)

Authors:
  1. H. Hizazi
  2. C. Amissi
  3. M. Lhous
  4. E. M. Magri
1
Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca
2
Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca
3
Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca
4
Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca

This paper investigates the notion of domination in linear fractional-order distributed systems in a finite-dimensional state.  The objective is to compare or classify the input operators with respect to the output ones, and we present the characterization and property results of this concept.  Then, we examine the relationship between controllability and the notion of domination.  Finally, we provide a numerical example to illustrate our results.

fractional-order
distributed systems
controllability
domination
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