On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
DOI:
https://doi.org/10.15407/mag11.03.207Ключові слова:
збурені системи, часова шкала, нерівності Гронуолла, квадратична стабільністьАнотація
У статті представлено нові нелінійні інтегральні нерівності на часовій шкалі. За допомогою явних інтегральних оцінок одержано достатні умови для рівномірної асимптотичної стійкості збурених систем на часових шкалах. Далі, ґрунтуючись на прямому методі Ляпунова, розроблено необхідний тип стабільності.
Mathematics Subject Classification: 34N, 34D, 76E, 34E.
Посилання
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