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arxiv: 1802.00284 · v2 · pith:RHRV3BCKnew · submitted 2018-02-01 · 💻 cs.SY

Dominance analysis of linear complementarity systems

classification 💻 cs.SY
keywords dominancesystemsanalysiscomplementaritygeneralizesincrementallinearp-dissipativity
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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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