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

Tadeusz Kaczorek and Łukasz Sajewski
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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

J, 2021, vol. 4, issue 3, 1-13

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.

Keywords: global stability; exponential decay; fractional order; positive; nonlinear; feedback system (search for similar items in EconPapers)
JEL-codes: I1 I10 I12 I13 I14 I18 I19 (search for similar items in EconPapers)
Date: 2021
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