This article is cited in 8 papers

Differentical equations, dynamical systems and optimal control

On stability of solutions to neutral type systems

I. I. Matveeva<sup>ab

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

Abstract: We consider a class of linear time-varying delay systems of neutral type with periodic coefficients. We obtain conditions for the exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity.

Keywords: time-varying delay systems, neutral type, periodic coefficients, exponential stability, estimates for solutions.

UDC: 517.929.4

MSC: 34K20

Received March 20, 2019, published June 7, 2019

DOI: 10.33048/semi.2019.16.050

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