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Dominance analysis of linear complementarity systems

2018/02/01 by Miranda-Villatoro, Felix A., Forni, Fulvio, Sepulchre, Rodolphe
#49K21 #70K05 #90C33 #93C10 #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1802.00284

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.

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