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Diagonal riccati stability of a class of matrices and applications. / Aleksandrov, A. Yu; Ковалева, Надежда Олеговна.

In: Nonlinear Dynamics and Systems Theory, Vol. 19, No. 4, 01.01.2019, p. 445-454.

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

Harvard

Aleksandrov, AY & Ковалева, НО 2019, 'Diagonal riccati stability of a class of matrices and applications', Nonlinear Dynamics and Systems Theory, vol. 19, no. 4, pp. 445-454.

APA

Aleksandrov, A. Y., & Ковалева, Н. О. (2019). Diagonal riccati stability of a class of matrices and applications. Nonlinear Dynamics and Systems Theory, 19(4), 445-454.

Vancouver

Aleksandrov AY, Ковалева НО. Diagonal riccati stability of a class of matrices and applications. Nonlinear Dynamics and Systems Theory. 2019 Jan 1;19(4):445-454.

Author

Aleksandrov, A. Yu ; Ковалева, Надежда Олеговна. / Diagonal riccati stability of a class of matrices and applications. In: Nonlinear Dynamics and Systems Theory. 2019 ; Vol. 19, No. 4. pp. 445-454.

BibTeX

@article{91f5e9b00ad74a49ae65c90e5a478c7d,
title = "Diagonal riccati stability of a class of matrices and applications",
abstract = "Necessary and sufficient conditions of the diagonal Riccati stability are derived for a class of pairs of matrices with special structures. The obtained conditions are used in the problems of analysis and synthesis of some types of time-delay systems. Results of numerical simulation are presented to illustrate the effectiveness of the proposed approaches.",
keywords = "Asymptotic stability, Complex sys- tem, Consensus, Delay, Diagonal stability, Lyapunov-Krasovskii functional",
author = "Aleksandrov, {A. Yu} and Ковалева, {Надежда Олеговна}",
year = "2019",
month = jan,
day = "1",
language = "English",
volume = "19",
pages = "445--454",
journal = "Nonlinear Dynamics and Systems Theory",
issn = "1562-8353",
publisher = "Informath Publishing Group",
number = "4",

}

RIS

TY - JOUR

T1 - Diagonal riccati stability of a class of matrices and applications

AU - Aleksandrov, A. Yu

AU - Ковалева, Надежда Олеговна

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Necessary and sufficient conditions of the diagonal Riccati stability are derived for a class of pairs of matrices with special structures. The obtained conditions are used in the problems of analysis and synthesis of some types of time-delay systems. Results of numerical simulation are presented to illustrate the effectiveness of the proposed approaches.

AB - Necessary and sufficient conditions of the diagonal Riccati stability are derived for a class of pairs of matrices with special structures. The obtained conditions are used in the problems of analysis and synthesis of some types of time-delay systems. Results of numerical simulation are presented to illustrate the effectiveness of the proposed approaches.

KW - Asymptotic stability

KW - Complex sys- tem

KW - Consensus

KW - Delay

KW - Diagonal stability

KW - Lyapunov-Krasovskii functional

UR - http://www.scopus.com/inward/record.url?scp=85087804251&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85087804251

VL - 19

SP - 445

EP - 454

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 4

ER -

ID: 61006680