Global stability of fractional feedback nonlinear systems with interval matrices of positive linear parts and

The global stability of fractional multi-inputs multi-outputs continuous-time nonlinear feedback systems with interval matrices of positive linear parts and application to electrical circuits is investigated. New sufficient conditions for the global stability of fractional nonlinear systems are given. The new stability conditions are applied to nonlinear electrical circuits and demonstrated on a simple example of a fractional nonlinear feedback system with a positive linear part.

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Publication Details

Journal
International Journal of Applied Mathematics and Computer Science
Published
2026-01-01
DOI
https://doi.org/10.61822/amcs-2026-0001
Primary Topic
Advanced Control Systems Design
Type
article
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article

Global stability of fractional feedback nonlinear systems with interval matrices of positive linear parts and

Tadeusz Kaczorek
International Journal of Applied Mathematics and Computer Science
Advanced Control Systems Design
article

Global stability of fractional feedback nonlinear systems with interval matrices of positive linear parts and

Tadeusz Kaczorek
article en

Abstract

The global stability of fractional multi-inputs multi-outputs continuous-time nonlinear feedback systems with interval matrices of positive linear parts and application to electrical circuits is investigated. New sufficient conditions for the global stability of fractional nonlinear systems are given. The new stability conditions are applied to nonlinear electrical circuits and demonstrated on a simple example of a fractional nonlinear feedback system with a positive linear part.

International Journal of Applied Mathematics and Computer ScienceVol. 36(1)
Bialystok University of Technology (PL)
Openalex Percentile: Top 11%
Advanced Control Systems Design
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