Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICIEA.2012.6360768
Title: L2 gain analysis of piecewise linear systems using sums of squares: A negative result
Authors: Xu, J. 
Issue Date: 2012
Citation: Xu, J. (2012). L2 gain analysis of piecewise linear systems using sums of squares: A negative result. Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012 : 441-446. ScholarBank@NUS Repository. https://doi.org/10.1109/ICIEA.2012.6360768
Abstract: In this paper, we investigate the L2 gain problem for piecewise linear (PWL) systems. Unlike the piecewise quadratic Lyapunov function (PQLF) approach, we construct high-order polynomial Lyapunov functions using the theory of sums of squares (SOS) with the aid of Positivstelltz and partition-dependent slack variables. We show that although more freedom is provided by SOS polynomials, the result may not be improved by linear matrix inequality (LMI) approach, i.e., SOS has its limitation in analysis of L2 gain problem for PWL systems. © 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/10635/111602
ISBN: 9781457721175
DOI: 10.1109/ICIEA.2012.6360768
Appears in Collections:Staff Publications

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