Stochastic stability analysis of periodic uncertain markov jump systems with partially known information
© 2017 ISSN 1881-803X. In this paper, the issue of stochastic stability and stabilization of periodic Markov jump systems with uncertain transition probabilities and parameters is investigated. The partially unknown transition probability matrix is described as a polytope with uncertain vertices. By...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
ICIC International
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/58048 |
| _version_ | 1848760164530782208 |
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| author | Zhu, L. Yin, YanYan Liu, Y. Liu, F. |
| author_facet | Zhu, L. Yin, YanYan Liu, Y. Liu, F. |
| author_sort | Zhu, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017 ISSN 1881-803X. In this paper, the issue of stochastic stability and stabilization of periodic Markov jump systems with uncertain transition probabilities and parameters is investigated. The partially unknown transition probability matrix is described as a polytope with uncertain vertices. By constructing a Lyapunov function, sufficient conditions are established under which the system is stochastically stable. Numerical example is given to show the effectiveness of the method proposed. |
| first_indexed | 2025-11-14T10:11:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-58048 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:11:26Z |
| publishDate | 2017 |
| publisher | ICIC International |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-580482017-11-20T08:50:07Z Stochastic stability analysis of periodic uncertain markov jump systems with partially known information Zhu, L. Yin, YanYan Liu, Y. Liu, F. © 2017 ISSN 1881-803X. In this paper, the issue of stochastic stability and stabilization of periodic Markov jump systems with uncertain transition probabilities and parameters is investigated. The partially unknown transition probability matrix is described as a polytope with uncertain vertices. By constructing a Lyapunov function, sufficient conditions are established under which the system is stochastically stable. Numerical example is given to show the effectiveness of the method proposed. 2017 Journal Article http://hdl.handle.net/20.500.11937/58048 ICIC International restricted |
| spellingShingle | Zhu, L. Yin, YanYan Liu, Y. Liu, F. Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title | Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title_full | Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title_fullStr | Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title_full_unstemmed | Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title_short | Stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| title_sort | stochastic stability analysis of periodic uncertain markov jump systems with partially known information |
| url | http://hdl.handle.net/20.500.11937/58048 |