Technical communique: Relaxing PWQ Lyapunov stability criteria for PWA systems

Authors:
Morten Hovd;Sorin Olaru
Affiliations:
Engineering Cybernetics Department, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;SUPELEC Systems Science, Automatic Control Department, Supelec, 3 rue Joliot Curie, 91192, France
Venue:
Automatica (Journal of IFAC)
Year:
2013

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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.