Robust Stability Analysis for Uncertain Switched Discrete-Time Systems
This paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncer...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/523020 |
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| _version_ | 1832559181272449024 |
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| author | Yali Dong |
| author_facet | Yali Dong |
| author_sort | Yali Dong |
| collection | DOAJ |
| description | This paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method and inequality technology. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. |
| format | Article |
| id | doaj-art-ef88761c9c4a45caba665a65d914c33e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ef88761c9c4a45caba665a65d914c33e2025-02-03T01:30:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/523020523020Robust Stability Analysis for Uncertain Switched Discrete-Time SystemsYali Dong0School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaThis paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method and inequality technology. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes.http://dx.doi.org/10.1155/2011/523020 |
| spellingShingle | Yali Dong Robust Stability Analysis for Uncertain Switched Discrete-Time Systems Journal of Applied Mathematics |
| title | Robust Stability Analysis for Uncertain Switched Discrete-Time Systems |
| title_full | Robust Stability Analysis for Uncertain Switched Discrete-Time Systems |
| title_fullStr | Robust Stability Analysis for Uncertain Switched Discrete-Time Systems |
| title_full_unstemmed | Robust Stability Analysis for Uncertain Switched Discrete-Time Systems |
| title_short | Robust Stability Analysis for Uncertain Switched Discrete-Time Systems |
| title_sort | robust stability analysis for uncertain switched discrete time systems |
| url | http://dx.doi.org/10.1155/2011/523020 |
| work_keys_str_mv | AT yalidong robuststabilityanalysisforuncertainswitcheddiscretetimesystems |