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Conference Papers Year : 2016

Incremental L-2-gain analysis of piecewise-affine systems using piecewise quadratic storage functions

Abstract

In this paper we are interested in the incremental stability of piecewise-affine (PWA) systems. We present conditions to compute an upper bound on the incremental L-2-gain based on dissipativity analysis. These conditions are expressed as linear matrix inequalities (LMI) allowing the construction of a continuous piecewise quadratic storage function. It is also shown that these conditions imply incremental asymptotic stability of the system. The result is illustrated with numerical examples.
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hal-01606732 , version 1 (02-10-2017)

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Sergio Waitman, Paolo Massioni, Laurent Bako, Gérard Scorletti, Vincent Fromion. Incremental L-2-gain analysis of piecewise-affine systems using piecewise quadratic storage functions. 55th IEEE CDC, Dec 2016, Las Vegas, NV, United States. pp.1334 - 1339, ⟨10.1109/CDC.2016.7798451⟩. ⟨hal-01606732⟩
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