Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control
We address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays. By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonl...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7548156 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562992595599360 |
|---|---|
| author | Mingzhu Song Wenwen Cheng Quanxin Zhu Hongwei Zhou Hui Wang |
| author_facet | Mingzhu Song Wenwen Cheng Quanxin Zhu Hongwei Zhou Hui Wang |
| author_sort | Mingzhu Song |
| collection | DOAJ |
| description | We address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays. By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability. In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays. Finally, an example and its simulations are given to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-03de03d0f9c54772942ce7dbd57df4a0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-03de03d0f9c54772942ce7dbd57df4a02025-02-03T01:21:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/75481567548156Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback ControlMingzhu Song0Wenwen Cheng1Quanxin Zhu2Hongwei Zhou3Hui Wang4Department of Mathematics and Computer Science, Tongling University, Tongling 244000, ChinaSchool of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing 210023, ChinaSchool of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing 210023, ChinaSchool of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing, Jiangsu 211171, ChinaSchool of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing 210023, ChinaWe address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays. By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability. In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays. Finally, an example and its simulations are given to illustrate the theoretical results.http://dx.doi.org/10.1155/2016/7548156 |
| spellingShingle | Mingzhu Song Wenwen Cheng Quanxin Zhu Hongwei Zhou Hui Wang Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control Discrete Dynamics in Nature and Society |
| title | Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control |
| title_full | Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control |
| title_fullStr | Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control |
| title_full_unstemmed | Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control |
| title_short | Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control |
| title_sort | globally asymptotic stability of stochastic nonlinear systems with time varying delays via output feedback control |
| url | http://dx.doi.org/10.1155/2016/7548156 |
| work_keys_str_mv | AT mingzhusong globallyasymptoticstabilityofstochasticnonlinearsystemswithtimevaryingdelaysviaoutputfeedbackcontrol AT wenwencheng globallyasymptoticstabilityofstochasticnonlinearsystemswithtimevaryingdelaysviaoutputfeedbackcontrol AT quanxinzhu globallyasymptoticstabilityofstochasticnonlinearsystemswithtimevaryingdelaysviaoutputfeedbackcontrol AT hongweizhou globallyasymptoticstabilityofstochasticnonlinearsystemswithtimevaryingdelaysviaoutputfeedbackcontrol AT huiwang globallyasymptoticstabilityofstochasticnonlinearsystemswithtimevaryingdelaysviaoutputfeedbackcontrol |