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...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/99023 http://hdl.handle.net/10220/12761 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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. |
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