Dominance analysis of linear complementarity systems
Accepted version
Peer-reviewed
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Repository DOI
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Authors
Miranda-Villatoro, Felix A
Forni, Fulvio https://orcid.org/0000-0002-5728-0176
Sepulchre, Rodolphe https://orcid.org/0000-0002-7047-3124
Abstract
The paper extends the concepts of dominance and p-dissipativity to the non-smooth family of linear complementarity systems. Dominance generalizes incremental stability whereas p-dissipativity generalizes incremental passivity. The generalization aims at an interconnection theory for the design and analysis of switching and oscillatory systems. The approach is illustrated by a detailed study of classical electrical circuits that switch and oscillate.
Description
Keywords
cs.SY, cs.SY, 93C10, 49K21, 90C33, 70K05
Journal Title
Conference Name
The 23rd International Symposium on Mathematical Theory of Networks and Systems