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Stability and hyperbolicity of linear systems with delayed state: a matrix-pencil approach.
- Source :
-
IMA Journal of Mathematical Control & Information . Dec1998, Vol. 15 Issue 4, p331-347. 17p. - Publication Year :
- 1998
-
Abstract
- This note focuses on the problem of asymptotic stability and hyperbolicity of a class of linear systems described by delay-differential equations including commensurable delays. An unitary approach for the considered problems is proposed via a matrix-pencil technique. Necessary and sufficient conditions, delay-independent or delay-dependent, are given in terms of the generalized eigenvalue distribution of two constant and regular matrix pencils: one associated with finite time delays and the other one associated with infinite delay. Furthermore, the proposed results are easy to check in numerical examples. An example from the neural-network field has also been considered. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 02650754
- Volume :
- 15
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- IMA Journal of Mathematical Control & Information
- Publication Type :
- Academic Journal
- Accession number :
- 79233390
- Full Text :
- https://doi.org/10.1093/imamci/15.4.331