Indiscernible topological variations in DAE networks

Deepak Patil*, Pietro Tesi, Stephan Trenn

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
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Abstract

A problem of characterizing conditions under which a topological change in a network of differential–algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogeneous networks this condition simplifies to the existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.
Original languageEnglish
Pages (from-to)280-289
Number of pages10
JournalAutomatica
Volume101
Early online date3-Jan-2019
DOIs
Publication statusPublished - Mar-2019

Keywords

  • Differential–Algebraic Equations (DAEs)
  • DAE networks
  • Time-varying topologies
  • MODE-OBSERVABILITY
  • SYSTEMS

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