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|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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