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A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. / Zhabko, A. P.; Letyagina, O. N.

8th IFAC Workshop on Time-Delay Systems. 2009. p. 183-188 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Zhabko, AP & Letyagina, ON 2009, A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. in 8th IFAC Workshop on Time-Delay Systems. IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 8, pp. 183-188, 8th IFAC Workshop on Time-Delay Systems, TDS'09, Sinaia, Romania, 1/09/09.

APA

Zhabko, A. P., & Letyagina, O. N. (2009). A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. In 8th IFAC Workshop on Time-Delay Systems (pp. 183-188). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1).

Vancouver

Zhabko AP, Letyagina ON. A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. In 8th IFAC Workshop on Time-Delay Systems. 2009. p. 183-188. (IFAC Proceedings Volumes (IFAC-PapersOnline); PART 1).

Author

Zhabko, A. P. ; Letyagina, O. N. / A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. 8th IFAC Workshop on Time-Delay Systems. 2009. pp. 183-188 (IFAC Proceedings Volumes (IFAC-PapersOnline); PART 1).

BibTeX

@inproceedings{fc3fdabc787643279d8b8cc102fc7bec,
title = "A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay",
abstract = "A numerical procedure for the construction of Lyapunov matrices is proposed. It is shown that the matrices satisfy an auxiliary two-point boundary value problem for a special delay free system of matrix equations. Some applications of the functionals are also given. In this paper we study the problem of computation of Lyapunov functionals with a prescribed time derivative for the case of delay systems with periodic coefficients. Similar to the case of time invariant systems the functionals are defined by special Lyapunov matrices.",
keywords = "Lyapunov matrices, Lyapunov-Krasovskii approach, Systems with periodic coefficients, Time delay systems",
author = "Zhabko, {A. P.} and Letyagina, {O. N.}",
year = "2009",
month = dec,
day = "1",
language = "English",
isbn = "9783902661678",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
number = "PART 1",
pages = "183--188",
booktitle = "8th IFAC Workshop on Time-Delay Systems",
note = "8th IFAC Workshop on Time-Delay Systems, TDS'09 ; Conference date: 01-09-2009 Through 03-09-2009",

}

RIS

TY - GEN

T1 - A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay

AU - Zhabko, A. P.

AU - Letyagina, O. N.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - A numerical procedure for the construction of Lyapunov matrices is proposed. It is shown that the matrices satisfy an auxiliary two-point boundary value problem for a special delay free system of matrix equations. Some applications of the functionals are also given. In this paper we study the problem of computation of Lyapunov functionals with a prescribed time derivative for the case of delay systems with periodic coefficients. Similar to the case of time invariant systems the functionals are defined by special Lyapunov matrices.

AB - A numerical procedure for the construction of Lyapunov matrices is proposed. It is shown that the matrices satisfy an auxiliary two-point boundary value problem for a special delay free system of matrix equations. Some applications of the functionals are also given. In this paper we study the problem of computation of Lyapunov functionals with a prescribed time derivative for the case of delay systems with periodic coefficients. Similar to the case of time invariant systems the functionals are defined by special Lyapunov matrices.

KW - Lyapunov matrices

KW - Lyapunov-Krasovskii approach

KW - Systems with periodic coefficients

KW - Time delay systems

UR - http://www.scopus.com/inward/record.url?scp=80051532214&partnerID=8YFLogxK

UR - https://www.sciencedirect.com/science/article/pii/S1474667015305577

M3 - Conference contribution

AN - SCOPUS:80051532214

SN - 9783902661678

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 183

EP - 188

BT - 8th IFAC Workshop on Time-Delay Systems

T2 - 8th IFAC Workshop on Time-Delay Systems, TDS'09

Y2 - 1 September 2009 through 3 September 2009

ER -

ID: 40335813