This article is cited in 6 papers

Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients

I. I. Matveeva<sup>ab

a</sup> Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
^b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk

Abstract: We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov — Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.

Keywords: time-delay system of neutral type, periodic coefficients, exponential stability, Lyapunov — Krasovskiĭ functional.

UDC: 517.929.4

Received: 09.05.2019
Revised: 09.05.2019
Accepted: 13.06.2019

DOI: 10.33048/sibjim.2019.22.308

 English version: Journal of Applied and Industrial Mathematics, 2019, 13:3, 511–518

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