English

Dominance analysis of linear complementarity systems

Systems and Control 2018-04-13 v2

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.

Keywords

Cite

@article{arxiv.1802.00284,
  title  = {Dominance analysis of linear complementarity systems},
  author = {Felix A. Miranda-Villatoro and Fulvio Forni and Rodolphe Sepulchre},
  journal= {arXiv preprint arXiv:1802.00284},
  year   = {2018}
}

Comments

7 pages, 8 figures, Submitted to the 23rd MTNS Conference

R2 v1 2026-06-23T00:07:29.445Z