Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions
In this paper, we present two improved stability criteria for a class of piecewise affine systems. First, by applying a partition-dependent Lyapunov function, we present a stability result based on copositive matrices which can be solved by the linear matrix inequality (LMI) technique. Second, to fu...
Saved in:
| Main Authors: | , |
|---|---|
| 其他作者: | |
| 格式: | Conference or Workshop Item |
| 語言: | English |
| 出版: |
2013
|
| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/99023 http://hdl.handle.net/10220/12761 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 總結: | In this paper, we present two improved stability criteria for a class of piecewise affine systems. First, by applying a partition-dependent Lyapunov function, we present a stability result based on copositive matrices which can be solved by the linear matrix inequality (LMI) technique. Second, to further reduce the conservatism of stability analysis, we construct a vertex-dependent Lyapunov function for each partition and show how to use Sum-of-Square (SOS) technique and Pólya's Lemma to calculate the corresponding Lyapunov matrices and hence assert the system stability. |
|---|