Global stability of nonlinear systems with positive linear parts and positive dynamical feedbacks

The global stability of nonlinear continuous-time standard and fractional order with linear dynamical positive feedback systems and of positive linear parts is investigated. New sufficient conditions for the global stability of this class of positive nonlinear systems are established. Procedures for...

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Bibliographic Details
Published inArchives of control sciences Vol. 35; no. 2; p. 251
Main Author Kaczorek, Tadeusz
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Poland 01.01.2025
Polish Academy of Sciences
Subjects
dynamical feedback
fractional order
global stability
nonlinear
Nonlinear systems
positive
Positive feedback
Science
Stability
system
System theory
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ISSN1230-2384
2300-2611
DOI10.24425/acs.2025.155394

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Summary:The global stability of nonlinear continuous-time standard and fractional order with linear dynamical positive feedback systems and of positive linear parts is investigated. New sufficient conditions for the global stability of this class of positive nonlinear systems are established. Procedures for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple examples.
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ISSN:1230-2384
2300-2611
DOI:10.24425/acs.2025.155394