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Delay-dependent and delay-independent stability criteria for a delay differential system
Author(s):
Hideaki
Matsunaga
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4305-4312.
MSC (2000):
Primary 34K20;
Secondary 34K25
Posted:
June 30, 2008
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Abstract:
For a linear delay differential system with two coefficients and one delay, we establish some necessary and sufficient conditions on the asymptotic stability of the zero solution, which are composed of delay-dependent and delay-independent stability criteria. On the former criterion, the range of the delay is explicitly given.
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Additional Information:
Hideaki
Matsunaga
Affiliation:
Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan
Email:
hideaki@ms.osakafu-u.ac.jp
DOI:
10.1090/S0002-9939-08-09396-9
PII:
S 0002-9939(08)09396-9
Keywords:
Asymptotic stability,
stability criteria,
delay differential equations,
characteristic equation
Received by editor(s):
October 19, 2007
Posted:
June 30, 2008
Additional Notes:
This work was supported in part by Grant-in-Aid for Young Scientists (B), No. 19740071, of the Japanese Ministry of Education, Culture, Sports, Science and Technology.
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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