NECESSARY CONDITIONS AND ALGORITHMIC STABILITY TESTS FOR CERTAIN HIGHER ODD ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS

TitleNECESSARY CONDITIONS AND ALGORITHMIC STABILITY TESTS FOR CERTAIN HIGHER ODD ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsCAHLON BARUCH, SCHMIDT DARRELL
JournalDynamic Systems and Applications
Volume20
Start Page223
Pagination23
Date Published2011
ISSN1056-2176
AMS Subject Classificationasymptotic stability, characteristic functions, delay, necessary conditions, stability criteria, stability regions
Abstract

In this paper we obtain necessary conditions and robust algorithmic criteria for asymptotic stability of the zero solution of higher odd order linear neutral delay differential equations of the form y (2m+1)(t) + αy(2m+1)(t − τ) = X 2m j=0 ajy (j) (t) +X 2m j=0 bjy (j) (t − τ) where aj , bj, and α 6= 0 are real constants. Here τ > 0 is a constant delay. In proving our results we make use of Pontryagin’s theory for quasi-polynomials.

PDFhttps://acadsol.eu/dsa/articles/20/16-DSA-31-12.pdf
Refereed DesignationRefereed