Stability criteria for certain third-order delay differential equations
In this paper, we study the asymptotic stability of the zero solution of third-order linear delay differential equations of the form y ‴ ( t ) = p 1 y ″ ( t ) + p 2 y ″ ( t - τ ) + q 1 y ′ ( t ) + q 2 y ′ ( t - τ ) + v 1 y ( t ) + v 2 y ( t - τ ) , where p 1 , p 2 , q 1 , q 2 , v 1 and v 2 are certa...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2006-04, Vol.188 (2), p.319-335 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we study the asymptotic stability of the zero solution of third-order linear delay differential equations of the form
y
‴
(
t
)
=
p
1
y
″
(
t
)
+
p
2
y
″
(
t
-
τ
)
+
q
1
y
′
(
t
)
+
q
2
y
′
(
t
-
τ
)
+
v
1
y
(
t
)
+
v
2
y
(
t
-
τ
)
,
where
p
1
,
p
2
,
q
1
,
q
2
,
v
1
and
v
2
are certain constants. Here
τ
>
0
is a constant delay. In proving our results we make use of Pontryagin's theory for quasi-polynomials. |
|---|---|
| ISSN: | 0377-0427 1879-1778 |
| DOI: | 10.1016/j.cam.2005.04.034 |