On The Global Stability of Fractional Feedback Nonlinear Systems with Interval Matrices of Positive Linear Parts and Application to Electrical Circuits

Tadeusz Kaczorek

doi:10.61822/amcs-2026-0001

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On The Global Stability of Fractional Feedback Nonlinear Systems with Interval Matrices of Positive Linear Parts and Application to Electrical Circuits

International Journal of Applied Mathematics and Computer Science

Volume 36 (2026): Issue 1 (March 2026)

By: Tadeusz Kaczorek

Open Access

|Mar 2026

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.

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