Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 34K20, 34K25

Retrieve articles in all journals with MSC (2000): 34K20, 34K25

Additional Information

Hideaki Matsunaga
Affiliation: Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan

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.

American Mathematical Society