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Stability of nontrivial solution of delay differential equations with state-dependent impulses
- Source :
-
Applied Mathematics & Computation . Mar2006, Vol. 174 Issue 1, p271-288. 18p. - Publication Year :
- 2006
-
Abstract
- Abstract: This paper considers the stability problem of nontrivial solutions of delay differential equations with state-dependent impulses. By using the concepts of reduced system and quasi-stability, the stability problem of a nontrivial solution of the impulsive delay differential equation with state-dependent impulses is converted to that of the trivial solution of the impulsive delay differential equation with fixed impulses. Several stability criteria are then established utilizing the known results for systems with fixed impulses. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 174
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 19841707
- Full Text :
- https://doi.org/10.1016/j.amc.2005.03.028