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|Title:||Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions||Authors:||Xu, Jun
|Keywords:||DRNTU::Engineering::Electrical and electronic engineering||Issue Date:||2012||Source:||Xu, J.,& Xie, L. (2012). Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions. 2012 7th IEEE Conference on Industrial Electronics and Applications (ICIEA),1183-1188.||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.||URI:||https://hdl.handle.net/10356/99023
|DOI:||http://dx.doi.org/10.1109/ICIEA.2012.6360903||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||EEE Conference Papers|
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