ДОСЛІДЖЕННЯ АБСОЛЮТНОЇ СТІЙКОСТІ НЕЛІНІЙНИХ СИСТЕМ СПЕЦІАЛЬНОГО ВИДУ З ПІСЛЯДІЄЮ МЕТОДОМ ФУНКЦІЙ ЛЯПУНОВА

Sufficient conditions of absolute stability of nonlinear regulator systems of neutral type are obtained. Estimations of exponential damping of solutions are constructed. Results are presented in the form of constructive algebraic criteria. As the instrument of research the Lyapunov direct method wit...

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Bibliographic Details
Date:2025
Main Authors: Shatyrko, A.V., Khusainov, D.Ya.
Format: Article
Language:English
Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
Online Access:https://jais.net.ua/index.php/files/article/view/577
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Journal Title:Problems of Control and Informatics

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Problems of Control and Informatics
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Summary:Sufficient conditions of absolute stability of nonlinear regulator systems of neutral type are obtained. Estimations of exponential damping of solutions are constructed. Results are presented in the form of constructive algebraic criteria. As the instrument of research the Lyapunov direct method with original function of Lurie–Postnikov type and an additional condition of Razumikhin is chosen.