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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Delay-dependent and delay-independent stability criteria for a delay differential system


Author: Hideaki Matsunaga
Journal: Proc. Amer. Math. Soc. 136 (2008), 4305-4312
MSC (2000): Primary 34K20; Secondary 34K25
Published electronically: June 30, 2008
MathSciNet review: 2431044
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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: http://dx.doi.org/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
Published electronically: 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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.