On the Robust Stability of Solutions to Periodic Systems of Neutral Type

I. I. Matveeva

doi:10.1134/S1990478918040099

On the Robust Stability of Solutions to Periodic Systems of Neutral Type

I. I. Matveeva

Differential Equations Section

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	684-693
Number of pages	10
Journal	Journal of Applied and Industrial Mathematics
Volume	12
Issue number	4
DOIs	https://doi.org/10.1134/S1990478918040099
Publication status	Published - 1 Oct 2018

Keywords

exponential stability
Lyapunov–Krasovskii functional
periodic coefficients
systems of neutral type

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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.",

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N2 - 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.

AB - 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.

KW - exponential stability

KW - Lyapunov–Krasovskii functional

KW - periodic coefficients

KW - systems of neutral type

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DO - 10.1134/S1990478918040099

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JO - Journal of Applied and Industrial Mathematics

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