Email this article On the Robust Stability of Solutions to Periodic Systems of Neutral Type
- Authors: Matveeva I.I.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 12, No 4 (2018)
- Pages: 684-693
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213121
- DOI: https://doi.org/10.1134/S1990478918040099
- ID: 213121
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Abstract
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.
About the authors
I. I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: matveeva@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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