Ідентифікація нелінійних систем з періодичними зовнішніми діями (Частина ІI)

The article presents the results of the study, which is a continuation of the author’s previous research. This paper considers more complex problems in identifying nonlinear systems with periodic external actions. The article shows that the previously proposed method is applicable when the periods o...

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Datum:2024
1. Verfasser: Gorodetskyi, Viktor
Format: Artikel
Sprache:Englisch
Veröffentlicht: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2024
Schlagworte:
Online Zugang:http://journal.iasa.kpi.ua/article/view/322499
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Назва журналу:System research and information technologies

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System research and information technologies
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Zusammenfassung:The article presents the results of the study, which is a continuation of the author’s previous research. This paper considers more complex problems in identifying nonlinear systems with periodic external actions. The article shows that the previously proposed method is applicable when the periods of external actions in the same differential equation may differ. At the same time, the ratio between the values of the periods can be both integer and fractional. The conditions under which this is possible are formulated. These conditions are based on the theorem proved in the previous work. Part of this study is devoted to the problem of identification of a chaotic system with an external non-sinusoidal action. To create such an external action, a function with three harmonic components was used. A numerical experiment confirmed the effectiveness of the algorithm in this case as well.