Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems
This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feed...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/791409 |
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| _version_ | 1849402909937106944 |
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| author | Zhiguo Yan |
| author_facet | Zhiguo Yan |
| author_sort | Zhiguo Yan |
| collection | DOAJ |
| description | This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method. |
| format | Article |
| id | doaj-art-98ddf295b2ec4539b3dad8d370e91063 |
| 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-98ddf295b2ec4539b3dad8d370e910632025-08-20T03:37:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/791409791409Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear SystemsZhiguo Yan0School of Electrical Engineering and Automation and Key Laboratory of Pulp and Paper Science and Technology of Ministry of Education of China , Jinan 250353, ChinaThis paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.http://dx.doi.org/10.1155/2014/791409 |
| spellingShingle | Zhiguo Yan Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems Abstract and Applied Analysis |
| title | Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems |
| title_full | Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems |
| title_fullStr | Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems |
| title_full_unstemmed | Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems |
| title_short | Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems |
| title_sort | resilient finite time controller design of a class of stochastic nonlinear systems |
| url | http://dx.doi.org/10.1155/2014/791409 |
| work_keys_str_mv | AT zhiguoyan resilientfinitetimecontrollerdesignofaclassofstochasticnonlinearsystems |