Title | NECESSARY CONDITIONS AND ALGORITHMIC STABILITY TESTS FOR CERTAIN HIGHER ODD ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | CAHLON BARUCH, SCHMIDT DARRELL |
Journal | Dynamic Systems and Applications |
Volume | 20 |
Start Page | 223 |
Pagination | 23 |
Date Published | 2011 |
ISSN | 1056-2176 |
AMS Subject Classification | asymptotic 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. |
https://acadsol.eu/dsa/articles/20/16-DSA-31-12.pdf | |
Refereed Designation | Refereed |