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

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On the Robust Stability of Solutions to Periodic Systems of Neutral Type. / Matveeva, I. I.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 4, 01.10.2018, p. 684-693.

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

Harvard

Matveeva, II 2018, 'On the Robust Stability of Solutions to Periodic Systems of Neutral Type', Journal of Applied and Industrial Mathematics, vol. 12, no. 4, pp. 684-693. https://doi.org/10.1134/S1990478918040099

APA

Matveeva, I. I. (2018). On the Robust Stability of Solutions to Periodic Systems of Neutral Type. Journal of Applied and Industrial Mathematics, 12(4), 684-693. https://doi.org/10.1134/S1990478918040099

Vancouver

Matveeva II. On the Robust Stability of Solutions to Periodic Systems of Neutral Type. Journal of Applied and Industrial Mathematics. 2018 Oct 1;12(4):684-693. doi: 10.1134/S1990478918040099

Author

Matveeva, I. I. / On the Robust Stability of Solutions to Periodic Systems of Neutral Type. In: Journal of Applied and Industrial Mathematics. 2018 ; Vol. 12, No. 4. pp. 684-693.

BibTeX

@article{b44733525d2f40b58377e20de4d13e78,

title = "On the Robust Stability of Solutions to Periodic Systems of Neutral Type",

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

author = "Matveeva, {I. I.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = oct,

day = "1",

doi = "10.1134/S1990478918040099",

language = "English",

volume = "12",

pages = "684--693",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - On the Robust Stability of Solutions to Periodic Systems of Neutral Type

AU - Matveeva, I. I.

PY - 2018/10/1

Y1 - 2018/10/1

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

UR - http://www.scopus.com/inward/record.url?scp=85058130446&partnerID=8YFLogxK

U2 - 10.1134/S1990478918040099

DO - 10.1134/S1990478918040099

M3 - Article

AN - SCOPUS:85058130446

VL - 12

SP - 684

EP - 693

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 17831291