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
DOI:
https://doi.org/10.1090/S0002-9939-08-09396-9
Published electronically:
June 30, 2008
MathSciNet review:
2431044
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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:
https://doi.org/10.1090/S0002-9939-08-09396-9
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.
