Dominance analysis of linear complementarity systems
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.
7 pages, 8 figures, Submitted to the 23rd MTNS Conference