The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
Abstract
This note is devoted to study the stabilization problem of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. By introducing the notation of input-to-state practical stability and an event-triggered strategy, we establish the input-to-state practically exponential mean-square stability of the suggested system. Moreover, we investigate the stabilization result by designing the feedback gain matrix and the event-triggered feedback controller, which is expressed in terms of linear matrix inequalities. Also, the lower bounds of interexecution times by the proposed event-triggered control method are obtained. Finally, an example is given to show the effectiveness of the proposed method. Compared with a large number of results for discrete-time stochastic systems, only a few results have appeared on the event-triggered control for continuous-time stochastic systems. In particular, there have been no published papers on the event-triggered control for continuous-time stochastic delay systems. This note is a first try to fill the gap on the topic.
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Cites
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks
Tabuada, P. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.904277 · Cited by 4,702
Distributed event-triggered control for multi-agent systems
Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2174666 · Cited by 2,556
A state-feedback approach to event-based control
Lunze, J., & Lehmann, D. (2010) · Automatica · doi:10.1016/j.automatica.2009.10.035 · Cited by 1,020
To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems
Anta, A., & Tabuada, P. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2042980 · Cited by 870
Donkers, M. C. F., & Heemels, W. P. M. H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2174696 · Cited by 846
Guo, G., Ding, L., & Han, Q.-L. (2014) · Automatica · doi:10.1016/j.automatica.2014.03.017 · Cited by 720
Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays
Garcia, E., & Antsaklis, P. J. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2211411 · Cited by 636
Event-triggered sliding mode control of stochastic systems via output feedback
Wu, L., Gao, Y., Liu, J., & Li, H. (2017) · Automatica · doi:10.1016/j.automatica.2017.04.032 · Cited by 511
Event-separation properties of event-triggered control systems
Borgers, D. P., & Heemels, W. P. M. H. (2014) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2014.2325272 · Cited by 506
Cited by
Yang, X., Zhao, T., & Zhu, Q. (2025) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2024.3486978 · Cited by 26
Self-citationLiu, W., Ma, Q., & Xu, S. (2024) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2024.3360281 · Cited by 26
Metadata
- Authors
- Zhu, Q.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2019-09
- Volume
- 64
- Issue
- 9
- Pages
- 3764-3771
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- 2334-3303
- OpenAlex
- W2900729111
- Cited by
- 486
- References
- 25
- FWCI
- 28.24
- Type
- journal article
- Language
- en
- Open access
- closed
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