The input-output version of Aizerman's conjecture

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...

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Published inInternational journal of robust and nonlinear control Vol. 8; no. 14; pp. 1219 - 1226
Main Authors Gil, M. I., Ailon, A.
Format Journal Article
LanguageEnglish
Published Chichester Wiley Subscription Services, Inc., A Wiley Company 15.12.1998
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Summary: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. © 1998 John Wiley & Sons, Ltd.
Bibliography:ArticleID:RNC383
ark:/67375/WNG-1CGX5NZB-5
Israel Ministry of Science and Technology
istex:0273982BF6524796D00AAA68AA08C580CAA92FD2
ISSN:1049-8923
1099-1239
DOI:10.1002/(SICI)1099-1239(19981215)8:14<1219::AID-RNC383>3.0.CO;2-E