This article is cited in 3 papers

On the robust stability of solutions to periodic systems of neutral type

I. I. Matveeva<sup>ab

a</sup> Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia

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.

UDC: 517.929.4

Received: 29.06.2018

DOI: 10.17377/sibjim.2018.21.407

 English version: Journal of Applied and Industrial Mathematics, 2018, 12:4, 684–693

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