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Relaxing PWQ Lyapunov stability criteria for PWA systems

Morten Hovd 1 Sorin Olaru 2
1 NTNU - Norwegian University of Science and Technology [Trondheim]
2 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
Abstract : The note addresses the calculation of piecewise quadratic (PWQ) Lyapunov functions for PWA (piecewise affine) systems. New LMI relaxations are proposed. These relaxations have been found to be effective in cases where the traditional relaxations fail.
Keywords : Linear matrix inequalities Piecewise linear/affine dynamics Lyapunov stability
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Journal articles
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https://hal-supelec.archives-ouvertes.fr/hal-00794374
Contributor : Josiane Dartron <>
Submitted on : Monday, February 25, 2013 - 4:48:31 PM
Last modification on : Wednesday, April 8, 2020 - 6:28:02 PM

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Morten Hovd, Sorin Olaru. Relaxing PWQ Lyapunov stability criteria for PWA systems. Automatica, Elsevier, 2013, 49 (2), pp.667-670. ⟨10.1016/j.automatica.2012.10.013⟩. ⟨hal-00794374⟩

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