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Stability analysis and stabilization of semi-Markov jump linear systems with unavailable sojourn-time information
- Source :
- SCIENCE CHINA Information Sciences; July 2024, Vol. 67 Issue: 7
- Publication Year :
- 2024
-
Abstract
- This study addresses the stability and stabilization problems of discrete-time semi-Markov jump linear systems (S-MJLSs) with unavailable sojourn-time information. The sojourn-time probability mass functions (S-TPMFs) of discrete-time semi-Markov chains are no longer confined to the geometric distribution, and it is difficult to obtain accurate and comprehensive information for S-TPMFs in practice. This is because S-TPMFs are usually deduced from the statistical characteristics according to the sampled-data, while adequate samples are often costly and time consuming. In this study, when the S-TPMFs for semi-Markov chains are assumed to be unavailable, the σ-error mean square stability is investigated for discrete-time S-MJLSs with some widely used assumptions; for semi-Markov chains, only the transition probability matrix of the embedded chain is used. In addition, the existence conditions of the effective controller are provided for closed-loop systems without using the information of S-TPMFs. Numerical examples are presented to illustrate the validity of the obtained theoretical results.
Details
- Language :
- English
- ISSN :
- 1674733X and 18691919
- Volume :
- 67
- Issue :
- 7
- Database :
- Supplemental Index
- Journal :
- SCIENCE CHINA Information Sciences
- Publication Type :
- Periodical
- Accession number :
- ejs66822039
- Full Text :
- https://doi.org/10.1007/s11432-023-4065-2