State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays
This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/673869 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556760266702848 |
|---|---|
| author | Fangzheng Gao Zheng Yuan Fushun Yuan |
| author_facet | Fangzheng Gao Zheng Yuan Fushun Yuan |
| author_sort | Fangzheng Gao |
| collection | DOAJ |
| description | This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. A simulation example is given to demonstrate the effectiveness of the proposed design procedure. |
| format | Article |
| id | doaj-art-90a8362386ff4c6da1eb824b2b7fb5ee |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-90a8362386ff4c6da1eb824b2b7fb5ee2025-02-03T05:44:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/673869673869State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying DelaysFangzheng Gao0Zheng Yuan1Fushun Yuan2School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaSchool of Civil and Architecture Engineering, Anyang Institute of Technology, Anyang 455000, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaThis paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.http://dx.doi.org/10.1155/2014/673869 |
| spellingShingle | Fangzheng Gao Zheng Yuan Fushun Yuan State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays Abstract and Applied Analysis |
| title | State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays |
| title_full | State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays |
| title_fullStr | State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays |
| title_full_unstemmed | State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays |
| title_short | State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays |
| title_sort | state feedback stabilization for stochastic high order nonlinear systems with time varying delays |
| url | http://dx.doi.org/10.1155/2014/673869 |
| work_keys_str_mv | AT fangzhenggao statefeedbackstabilizationforstochastichighordernonlinearsystemswithtimevaryingdelays AT zhengyuan statefeedbackstabilizationforstochastichighordernonlinearsystemswithtimevaryingdelays AT fushunyuan statefeedbackstabilizationforstochastichighordernonlinearsystemswithtimevaryingdelays |