Dominance analysis of linear complementarity systems
Provides a theoretical framework for analyzing switching and oscillatory systems, but is incremental as it generalizes existing concepts to a specific non-smooth system class.
The paper extends dominance and p-dissipativity to linear complementarity systems, enabling interconnection theory for switching and oscillatory systems, demonstrated on classical electrical circuits.
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.