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Further remarks on asymptotic stability and set invariance for linear delay-difference equations.
- Source :
-
Automatica . Aug2014, Vol. 50 Issue 8, p2191-2195. 5p. - Publication Year :
- 2014
-
Abstract
- We studied the existence of positively invariant sets for linear delay-difference equations. In particular, we regarded two strong stability notions: robust (with respect to delay parameter) asymptotic stability for the discrete-time case and delay-independent stability for the continuous-time case. The correlation between these stability concepts is also considered. Furthermore, for the delay-difference equations with two delay parameters, we provided a computationally efficient numerical routine which is necessary to guarantee the existence of contractive sets of Lyapunov-Razumikhin type. This condition also appears to be necessary and sufficient for the delay-independent stability and sufficient for the robust asymptotic stability. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 50
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 97269457
- Full Text :
- https://doi.org/10.1016/j.automatica.2014.05.019