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Journal articles
Parameter-dependent PWQ Lyapunov function stability criteria for uncertain piecewise linear systems
Abstract : The calculation of piecewise quadratic (PWQ) Lyapunov functions is addressed in view of stability analysis of uncertain piecewise linear dynamics. As main contribution, the linear matrix inequality (LMI) approach proposed in Johansson and Rantzer (1998) for the stability analysis of PWL and PWA dynamics is extended to account for parametric uncertainty based on a improved relaxation technique. The results are applied for the analysis of a Phase Locked Loop (PLL) benchmark and the ability to guarantee a stability region in the parameter space well beyond the state of the art is demonstrated.
Cited literature [16 references]
https://hal-centralesupelec.archives-ouvertes.fr/hal-01736928
Contributor : Sorin Olaru Connect in order to contact the contributor
Submitted on : Sunday, March 18, 2018 - 10:53:30 PM
Last modification on : Friday, January 21, 2022 - 3:01:30 AM
Long-term archiving on: : Tuesday, September 11, 2018 - 8:12:04 AM
Contributor : Sorin Olaru Connect in order to contact the contributor
Submitted on : Sunday, March 18, 2018 - 10:53:30 PM
Last modification on : Friday, January 21, 2022 - 3:01:30 AM
Long-term archiving on: : Tuesday, September 11, 2018 - 8:12:04 AM
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