Stability criteria for certain third-order delay differential equations

Authors:
Baruch Cahlon;Darrell Schmidt
Affiliations:
Department of Mathematics and Statistics, Oakland University, Rochester, MI;Department of Mathematics and Statistics, Oakland University, Rochester, MI
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 5
Cited 2

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Abstract

In this paper, we study the asymptotic stability of the zero solution of third-order linear delay differential equations of the form y'''(t) = p1y''(t) + p2y''(t-τ) + q1y'(t) + q2y'(t-τ) + v1y(t) + v2y(t-τ), where p1, p1, q1, q2, v1 and v2 are certain constants. Here τ 0 is a constant delay. In proving our results we make use of Pontryagin's theory for quasi-polynomials.