The input-output version of the Aizerman-Myshkis problem for retarded systems

M. I. Gil; A. Ailon

doi:10.1080/0020717031000136397

The input-output version of the Aizerman-Myshkis problem for retarded systems

M. I. Gil, A. Ailon

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

1 Scopus citations

Abstract

Non-linear retarded systems are considered. Conditions for the input-output stability are derived. They are formulated in terms of the zeros of the corresponding quasi-polynomials. In addition, it is proved that retarded systems with positive impulse (Green) functions satisfy the Aizerman-Myshkis conjecture in the input-output version.

Original language	English
Pages (from-to)	1125-1128
Number of pages	4
Journal	International Journal of Control
Volume	76
Issue number	11
DOIs	https://doi.org/10.1080/0020717031000136397
State	Published - 20 Jul 2003

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

Access to Document

10.1080/0020717031000136397

Cite this

@article{0cc98bb8ca3c47f3b3a53f33b23aa597,

title = "The input-output version of the Aizerman-Myshkis problem for retarded systems",

abstract = "Non-linear retarded systems are considered. Conditions for the input-output stability are derived. They are formulated in terms of the zeros of the corresponding quasi-polynomials. In addition, it is proved that retarded systems with positive impulse (Green) functions satisfy the Aizerman-Myshkis conjecture in the input-output version.",

author = "Gil, {M. I.} and A. Ailon",

note = "Funding Information: This research was supported by the Kamea Fund.",

year = "2003",

month = jul,

day = "20",

doi = "10.1080/0020717031000136397",

language = "English",

volume = "76",

pages = "1125--1128",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor and Francis Ltd.",

number = "11",

}

TY - JOUR

T1 - The input-output version of the Aizerman-Myshkis problem for retarded systems

AU - Gil, M. I.

AU - Ailon, A.

N1 - Funding Information: This research was supported by the Kamea Fund.

PY - 2003/7/20

Y1 - 2003/7/20

N2 - Non-linear retarded systems are considered. Conditions for the input-output stability are derived. They are formulated in terms of the zeros of the corresponding quasi-polynomials. In addition, it is proved that retarded systems with positive impulse (Green) functions satisfy the Aizerman-Myshkis conjecture in the input-output version.

AB - Non-linear retarded systems are considered. Conditions for the input-output stability are derived. They are formulated in terms of the zeros of the corresponding quasi-polynomials. In addition, it is proved that retarded systems with positive impulse (Green) functions satisfy the Aizerman-Myshkis conjecture in the input-output version.

UR - http://www.scopus.com/inward/record.url?scp=0142137690&partnerID=8YFLogxK

U2 - 10.1080/0020717031000136397

DO - 10.1080/0020717031000136397

M3 - Article

AN - SCOPUS:0142137690

SN - 0020-7179

VL - 76

SP - 1125

EP - 1128

JO - International Journal of Control

JF - International Journal of Control

IS - 11

ER -

The input-output version of the Aizerman-Myshkis problem for retarded systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this