| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 695467 | Automatica | 2014 | 5 Pages |
Abstract
Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov–Krasovskii approach, we investigate L2L2-stability for such a class of systems. Sufficient conditions, and in some particular cases, necessary and sufficient conditions for exponential L2L2-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.
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Control and Systems Engineering
Authors
Sérine Damak, Michael Di Loreto, Warody Lombardi, Vincent Andrieu,