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Global Stability and Exponential Decay of Processes in Nonlinear Feedback Systems with Different Fractional Orders

Author

Listed:
  • Tadeusz Kaczorek

    (Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45A, 15-351 Białystok, Poland)

  • Łukasz Sajewski

    (Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45A, 15-351 Białystok, Poland)

Abstract

The global stability of continuous-time multi-input multi-output nonlinear feedback systems with different fractional orders and interval matrices of positive linear parts is investigated. New sufficient conditions for the global stability of this class of positive nonlinear systems are established. Sufficient conditions for the exponential decay of processes in fractional nonlinear systems are given. Procedures for computation of a gain matrix characterizing the class of nonlinear elements are proposed and illustrated by examples.

Suggested Citation

  • Tadeusz Kaczorek & Łukasz Sajewski, 2021. "Global Stability and Exponential Decay of Processes in Nonlinear Feedback Systems with Different Fractional Orders," J, MDPI, vol. 4(3), pages 1-13, July.
    • Handle: RePEc:gam:jjopen:v:4:y:2021:i:3:p:25-340:d:592933
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