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|Title:||Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions|
|Authors:||Xu, J. |
|Source:||Xu, J.,Xie, L. (2012). Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions. Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012 : 1183-1188. ScholarBank@NUS Repository. https://doi.org/10.1109/ICIEA.2012.6360903|
|Abstract:||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. © 2012 IEEE.|
|Source Title:||Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012|
|Appears in Collections:||Staff Publications|
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