Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type

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Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type. / Gomez, Marco A.; Egorov, Alexey V.; Mondie, Sabine.

In: IEEE Transactions on Automatic Control, Vol. 66, No. 6, 9138672, 01.06.2021, p. 2802-2808.

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

BibTeX

@article{cc1518803f1f4b3da92dc7401b3c789e,

title = "Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type",

abstract = "We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension. ",

keywords = "Delay Lyapunov matrix, necessary and sufficient stability condition, time-delay systems",

author = "Gomez, {Marco A.} and Egorov, {Alexey V.} and Sabine Mondie",

year = "2021",

month = jun,

day = "1",

doi = "10.1109/tac.2020.3008392",

language = "English",

volume = "66",

pages = "2802--2808",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6",

}

RIS

TY - JOUR

T1 - Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type

AU - Gomez, Marco A.

AU - Egorov, Alexey V.

AU - Mondie, Sabine

PY - 2021/6/1

Y1 - 2021/6/1

N2 - We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.

AB - We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.

KW - Delay Lyapunov matrix

KW - necessary and sufficient stability condition

KW - time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=85103313018&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/15a6c023-338a-374e-ae2c-3103b57750ef/

U2 - 10.1109/tac.2020.3008392

DO - 10.1109/tac.2020.3008392

M3 - Article

AN - SCOPUS:85103313018

VL - 66

SP - 2802

EP - 2808

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 6

M1 - 9138672

ER -

ID: 77817931