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Exponential L2-stability for a class of linear systems governed by continuous-time difference equations
- Source :
- Automatica, Automatica, Elsevier, 2014, 50 (12), pp.3299-3303. ⟨10.1016/j.automatica.2014.10.087⟩, Automatica, 2014, 50 (12), pp.3299-3303. ⟨10.1016/j.automatica.2014.10.087⟩
- Publication Year :
- 2014
- Publisher :
- HAL CCSD, 2014.
-
Abstract
- International audience; Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov–Krasovskii approach, we investigate L2-stability for such a class of systems. Sufficient conditions, and in some particular cases, necessary and sufficient conditions for exponential L2-stability are established, for multivariable systems with commensurate or rationally independent delays. An analysis of discontinuities evolution appearing in the system response is proposed. Finally, a robustness issue is discussed for time-varying delays.
Details
- Language :
- English
- ISSN :
- 00051098
- Database :
- OpenAIRE
- Journal :
- Automatica, Automatica, Elsevier, 2014, 50 (12), pp.3299-3303. ⟨10.1016/j.automatica.2014.10.087⟩, Automatica, 2014, 50 (12), pp.3299-3303. ⟨10.1016/j.automatica.2014.10.087⟩
- Accession number :
- edsair.dedup.wf.001..7aae7c710e9f139691fa263e49f9c91b
- Full Text :
- https://doi.org/10.1016/j.automatica.2014.10.087⟩