Passive linear continuous-time systems: Characterization through structure

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We here show that the family of finite-dimensional, continuous-time, passive, linear, time-invariant systems can be characterized through the structure of maximal matrix-convex cones, closed under inversion. Moreover, this observation unifies three setups: (i) differential inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with rational functions. It turns out that in the discrete-time case, the corresponding structure is of a maximal matrix-convex set, closed under multiplication among its elements.

Original languageEnglish
Article number104816
JournalSystems and Control Letters
StatePublished - 1 Jan 2021


  • Electrical circuits
  • K–Y–P Lemma
  • Matrix-convex sets
  • Passive linear systems
  • Positive real rational functions
  • State-space realization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science (all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Passive linear continuous-time systems: Characterization through structure'. Together they form a unique fingerprint.

Cite this