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.
Keywords:
systems of neutral type, periodic coefficients, exponential stability, Lyapunov–Krasovskii functional.
Citation:
I. I. Matveeva, “On the robust stability of solutions to periodic systems of neutral type”, Sib. Zh. Ind. Mat., 21:4 (2018), 86–95; J. Appl. Industr. Math., 12:4 (2018), 684–693
\Bibitem{Mat18}
\by I.~I.~Matveeva
\paper On the robust stability of solutions to periodic systems of neutral type
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 4
\pages 86--95
\mathnet{http://mi.mathnet.ru/sjim1023}
\crossref{https://doi.org/10.17377/sibjim.2018.21.407}
\elib{https://elibrary.ru/item.asp?id=37304726}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 4
\pages 684--693
\crossref{https://doi.org/10.1134/S1990478918040099}
\elib{https://elibrary.ru/item.asp?id=38668750}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058130446}
Linking options:
https://www.mathnet.ru/eng/sjim1023
https://www.mathnet.ru/eng/sjim/v21/i4/p86
This publication is cited in the following 3 articles:
G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145
T. K. Yskak, “Estimates For Solutions of One Class of Systems of Equations of Neutral Type With Distributed Delay”, Sib. Electron. Math. Rep., 17 (2020), 416–427
T. Yskak, “On the stability of systems of linear differential equations of neutral type with distributed delay”, J. Appl. Industr. Math., 13:3 (2019), 575–583
Citation in format AMSBIB
Contact us: