Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICIEA.2012.6360903
Title: Improved stability criteria for piecewise affine systems based on partition- and vertex-dependent Lyapunov functions
Authors: Xu, J. 
Xie, L.
Issue Date: 2012
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
URI: http://scholarbank.nus.edu.sg/handle/10635/117253
ISBN: 9781457721175
DOI: 10.1109/ICIEA.2012.6360903
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