The input-output version of Aizerman's conjecture

M. I. Gil; A. Ailon

doi:10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e

The input-output version of Aizerman's conjecture

M. I. Gil, A. Ailon

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

6 Scopus citations

Abstract

It is proved that non-linear systems with positive impulse functions satisfy the Aizerman conjecture in the input-output version. Besides, the stability criteria are formulated in the terms of the Hurwitzness of corresponding polynomials. In addition, new positivity conditions for impulse functions are proposed.

Original language	English
Pages (from-to)	1219-1226
Number of pages	8
Journal	International Journal of Robust and Nonlinear Control
Volume	8
Issue number	14
DOIs	https://doi.org/10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

Access to Document

10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e

Cite this

@article{2069923120564ce0a2fbb2692871a662,

title = "The input-output version of Aizerman's conjecture",

abstract = "It is proved that non-linear systems with positive impulse functions satisfy the Aizerman conjecture in the input-output version. Besides, the stability criteria are formulated in the terms of the Hurwitzness of corresponding polynomials. In addition, new positivity conditions for impulse functions are proposed.",

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

year = "1998",

month = jan,

day = "1",

doi = "10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e",

language = "English",

volume = "8",

pages = "1219--1226",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "John Wiley and Sons Ltd",

number = "14",

}

TY - JOUR

T1 - The input-output version of Aizerman's conjecture

AU - Gil, M. I.

AU - Ailon, A.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - It is proved that non-linear systems with positive impulse functions satisfy the Aizerman conjecture in the input-output version. Besides, the stability criteria are formulated in the terms of the Hurwitzness of corresponding polynomials. In addition, new positivity conditions for impulse functions are proposed.

AB - It is proved that non-linear systems with positive impulse functions satisfy the Aizerman conjecture in the input-output version. Besides, the stability criteria are formulated in the terms of the Hurwitzness of corresponding polynomials. In addition, new positivity conditions for impulse functions are proposed.

UR - http://www.scopus.com/inward/record.url?scp=0032295443&partnerID=8YFLogxK

U2 - 10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e

DO - 10.1002/(sici)1099-1239(19981215)8:14<1219::aid-rnc383>3.0.co;2-e

M3 - Article

AN - SCOPUS:0032295443

SN - 1049-8923

VL - 8

SP - 1219

EP - 1226

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 14

ER -

The input-output version of Aizerman's conjecture

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this