Abstract
For the dynamic output-feedback stabilization of continuous-time singular Markovian jump systems, this paper introduces the necessary and sufficient condition, whereas the previous research works suggested the sufficient conditions. A special choice of the block entries of Lyapunov matrices leads to derive the necessary and sufficient condition in terms of linear matrix inequalities. A numerical example shows the validity of the derived results.
| Original language | English |
|---|---|
| Article number | 7892975 |
| Pages (from-to) | 5396-5400 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 62 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2017 |
Keywords
- Linear matrix inequalities (LMIs)
- Markov processes
- output feedback and observer
- singular Markovian jump systems (SMJS)
- stochastic systems
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