Dominance analysis of linear complementarity systems
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
TL;DR
This paper extends dominance and p-dissipativity concepts to linear complementarity systems, providing a framework for analyzing switching and oscillatory behaviors in complex systems, demonstrated through electrical circuit examples.
Contribution
It introduces a novel extension of dominance and p-dissipativity to non-smooth systems, enabling new analysis and design methods for switching and oscillatory systems.
Findings
Extended dominance to complementarity systems
Applied p-dissipativity to non-smooth dynamics
Analyzed electrical circuits with switching and oscillations
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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Taxonomy
TopicsControl and Stability of Dynamical Systems · Gene Regulatory Network Analysis