Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
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 pract...
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| Published in | IEEE transactions on automatic control Vol. 64; no. 9; pp. 3764 - 3771 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.09.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| 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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| AbstractList | 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. |
| Author | Zhu, Quanxin |
| Author_xml | – sequence: 1 givenname: Quanxin orcidid: 0000-0003-3130-4923 surname: Zhu fullname: Zhu, Quanxin email: zqx22@126.com organization: Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), School of Mathematics and Statistics, Hunan Normal University, Changsha, China |
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| CODEN | IETAA9 |
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| SubjectTerms | Asymptotic stability Control stability Control systems Delay Delay systems Discrete time systems Disturbances Event-triggered feedback control Feedback control input-to-state practically exponential mean-square stability Linear matrix inequalities linear matrix inequality (LMI) Lower bounds Mathematical analysis Matrix methods Nonlinear systems Stability criteria Stabilization State feedback stochastic nonlinear delay system Stochastic systems |
| Title | Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control |
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