A Class of Transformation Matrices and Its Applications
This paper studies a class of transformation matrices and its applications. Firstly, we introduce a class of transformation matrices between two different vector operators and give some important properties of it. Secondly, we consider its two applications. The first one is to improve Qian Jiling�...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/742098 |
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| _version_ | 1832558052460462080 |
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| author | Wenhui Liu Feiqi Deng Jiarong Liang Haijun Liu |
| author_facet | Wenhui Liu Feiqi Deng Jiarong Liang Haijun Liu |
| author_sort | Wenhui Liu |
| collection | DOAJ |
| description | This paper studies a class of transformation matrices and its applications. Firstly, we introduce a class of transformation matrices between two different vector operators and give some important properties of it. Secondly, we consider its two applications. The first one is to improve Qian Jiling's formula. And the second one is to deal with the observability of discrete-time stochastic linear systems with Markovian jump and multiplicative noises. A new necessary and sufficient condition for the weak observability will be given in the second application. |
| format | Article |
| id | doaj-art-a2f6ef870b034f8e89ed2ac0e3bc376c |
| 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-a2f6ef870b034f8e89ed2ac0e3bc376c2025-02-03T01:33:27ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/742098742098A Class of Transformation Matrices and Its ApplicationsWenhui Liu0Feiqi Deng1Jiarong Liang2Haijun Liu3College of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaCollege of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaSchool of Computer, Electronics and Information, Guangxi University, Nanning 530004, ChinaSchool of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, ChinaThis paper studies a class of transformation matrices and its applications. Firstly, we introduce a class of transformation matrices between two different vector operators and give some important properties of it. Secondly, we consider its two applications. The first one is to improve Qian Jiling's formula. And the second one is to deal with the observability of discrete-time stochastic linear systems with Markovian jump and multiplicative noises. A new necessary and sufficient condition for the weak observability will be given in the second application.http://dx.doi.org/10.1155/2014/742098 |
| spellingShingle | Wenhui Liu Feiqi Deng Jiarong Liang Haijun Liu A Class of Transformation Matrices and Its Applications Abstract and Applied Analysis |
| title | A Class of Transformation Matrices and Its Applications |
| title_full | A Class of Transformation Matrices and Its Applications |
| title_fullStr | A Class of Transformation Matrices and Its Applications |
| title_full_unstemmed | A Class of Transformation Matrices and Its Applications |
| title_short | A Class of Transformation Matrices and Its Applications |
| title_sort | class of transformation matrices and its applications |
| url | http://dx.doi.org/10.1155/2014/742098 |
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