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

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.

Mots clés: Lyapunov stability; Piecewise linear/affine dynamics; Linear matrix inequalities

Domaines: Automatique / Robotique

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