Abstract
In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.
| Original language | English |
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| Title of host publication | Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Hilton Atlanta Hotel, Atlanta, Georgia, 15-17 Dec. 2010 |
| Publisher | IEEE Press |
| Pages | 2644-2649 |
| Number of pages | 6 |
| ISBN (Print) | 9781424477456 |
| Publication status | Published - 2010 |
| Event | IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → … |
Conference
| Conference | IEEE Conference on Decision and Control |
|---|---|
| Period | 12/12/17 → … |
Keywords
- asymptotic stability
- stochastic processes