Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 64, Issue 9, Pages 3764-3771Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2018.2882067
Keywords
Event-triggered feedback control; input-to-state practically exponential mean-square stability; linear matrix inequality (LMI); stabilization; stochastic nonlinear delay system
Funding
- National Natural Science Foundation of China [61773217, 61374080, 11531006]
- Natural Science Foundation of Jiangsu Province [BK20161552]
- Construct Program of the Key Discipline in Hunan Province
- Qing Lan Project of Jiangsu Province
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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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