Enviar artigo por via de e-mail On the Robust Stability of Solutions to Periodic Systems of Neutral Type
- Autores: Matveeva I.I.1,2
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Edição: Volume 12, Nº 4 (2018)
- Páginas: 684-693
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213121
- DOI: https://doi.org/10.1134/S1990478918040099
- ID: 213121
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Resumo
Under consideration is some class of linear systems of neutral type with periodic coefficients. We obtain the conditions on perturbations of the coefficients which preserve the exponential stability of the zero solution. Using a special Lyapunov–Krasovskii functional, we establish some estimates that characterize the rate of exponential decay at infinity of the solutions of the perturbed systems.
Sobre autores
I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Autor responsável pela correspondência
Email: matveeva@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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