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Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part. / Churilov, Alexander N.

In: AIMS Mathematics, Vol. 5, No. 1, 01.01.2020, p. 96-110.

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

Harvard

Churilov, AN 2020, 'Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part', AIMS Mathematics, vol. 5, no. 1, pp. 96-110. https://doi.org/10.3934/math.2020007, https://doi.org/10.3934/math.2020007

APA

Churilov, A. N. (2020). Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part. AIMS Mathematics, 5(1), 96-110. https://doi.org/10.3934/math.2020007, https://doi.org/10.3934/math.2020007

Vancouver

Churilov AN. Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part. AIMS Mathematics. 2020 Jan 1;5(1):96-110. https://doi.org/10.3934/math.2020007, https://doi.org/10.3934/math.2020007

Author

Churilov, Alexander N. / Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part. In: AIMS Mathematics. 2020 ; Vol. 5, No. 1. pp. 96-110.

BibTeX

@article{87d536edb3dc4c3fae3b65683963df5b,
title = "Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part",
abstract = "An impulsive system with a linear continuous-time part and a nonlinear discrete-time part is considered. A criterion for exponential orbital stability of its periodic solutions is obtained. The proof is based on linearization by the first approximation of an auxiliary discrete-time system. The formulation of the criterion depends significantly on a number of impulses per period of the solution. The paper provides a mathematical rationale for some results previously examined in mathematical biology by computer simulations.",
keywords = "Exponential stability, Hybrid systems, Orbital stability, Periodic solutions, Systems with impulses",
author = "Churilov, {Alexander N.}",
year = "2020",
month = jan,
day = "1",
doi = "10.3934/math.2020007",
language = "English",
volume = "5",
pages = "96--110",
journal = "AIMS Mathematics",
issn = "2473-6988",
publisher = "AIMS Press",
number = "1",

}

RIS

TY - JOUR

T1 - Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part

AU - Churilov, Alexander N.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - An impulsive system with a linear continuous-time part and a nonlinear discrete-time part is considered. A criterion for exponential orbital stability of its periodic solutions is obtained. The proof is based on linearization by the first approximation of an auxiliary discrete-time system. The formulation of the criterion depends significantly on a number of impulses per period of the solution. The paper provides a mathematical rationale for some results previously examined in mathematical biology by computer simulations.

AB - An impulsive system with a linear continuous-time part and a nonlinear discrete-time part is considered. A criterion for exponential orbital stability of its periodic solutions is obtained. The proof is based on linearization by the first approximation of an auxiliary discrete-time system. The formulation of the criterion depends significantly on a number of impulses per period of the solution. The paper provides a mathematical rationale for some results previously examined in mathematical biology by computer simulations.

KW - Exponential stability

KW - Hybrid systems

KW - Orbital stability

KW - Periodic solutions

KW - Systems with impulses

UR - http://www.scopus.com/inward/record.url?scp=85074235889&partnerID=8YFLogxK

U2 - 10.3934/math.2020007

DO - 10.3934/math.2020007

M3 - Article

AN - SCOPUS:85074235889

VL - 5

SP - 96

EP - 110

JO - AIMS Mathematics

JF - AIMS Mathematics

SN - 2473-6988

IS - 1

ER -

ID: 47673559