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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
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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https://hal-supelec.archives-ouvertes.fr/hal-00794374
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Submitted on : Monday, February 25, 2013 - 4:48:31 PM
Last modification on : Tuesday, February 23, 2021 - 7:24:05 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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