Stability of linear time variant dynamic systems with multiple time delays

Wang Zaihua; Hu Haiyan

doi:10.1007/bf02487763

Stability of linear time variant dynamic systems with multiple time delays

Wang Zaihua^*
, Hu Haiyan

^*Corresponding author for this work

Nanjing University of Aeronautics and Astronautics
Nanjing Institute of Engineering

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

8 Citations (Scopus)

Abstract

By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives.

Original language	English
Pages (from-to)	274-282
Number of pages	9
Journal	Acta Mechanica Sinica/Lixue Xuebao
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/bf02487763
Publication status	Published - 1998
Externally published	Yes

Keywords

Frozen time approach
Retarded dynamic systems
Stability
Time delay

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10.1007/bf02487763

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title = "Stability of linear time variant dynamic systems with multiple time delays",

abstract = "By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives.",

keywords = "Frozen time approach, Retarded dynamic systems, Stability, Time delay",

author = "Wang Zaihua and Hu Haiyan",

year = "1998",

doi = "10.1007/bf02487763",

language = "English",

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journal = "Acta Mechanica Sinica/Lixue Xuebao",

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TY - JOUR

T1 - Stability of linear time variant dynamic systems with multiple time delays

AU - Zaihua, Wang

AU - Haiyan, Hu

PY - 1998

Y1 - 1998

N2 - By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives.

AB - By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives.

KW - Frozen time approach

KW - Retarded dynamic systems

KW - Stability

KW - Time delay

UR - https://www.scopus.com/pages/publications/0032263331

U2 - 10.1007/bf02487763

DO - 10.1007/bf02487763

M3 - Article

AN - SCOPUS:0032263331

SN - 0567-7718

VL - 14

SP - 274

EP - 282

JO - Acta Mechanica Sinica/Lixue Xuebao

JF - Acta Mechanica Sinica/Lixue Xuebao

IS - 3

ER -

Stability of linear time variant dynamic systems with multiple time delays

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Keywords

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