Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/99023
Title: Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions
Authors: Xu, Jun
Xie, Lihua
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
http://hdl.handle.net/10220/12761
DOI: 10.1109/ICIEA.2012.6360903
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Conference Papers

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