On eigenvectors of convex processes in non-pointed cones

Jaap Eising*, M. Kanat Camlibel

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
35 Downloads (Pure)

Abstract

Spectral analysis of convex processes has led to many results in the analysis of differential inclusions with a convex process. In particular the characterization of eigenvalues with eigenvectors in a given cone has led to results on controllability and stabilizability. However, these characterizations can handle only pointed cones. This paper will generalize all known results characterizing eigenvalues of convex processes with eigenvectors in a given cone. In addition, we reveal the link between the assumptions on our main theorem and classical geometric control theory.

Original languageEnglish
Article number126236
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume513
Issue number2
DOIs
Publication statusPublished - 15-Sept-2022

Keywords

  • Convex process
  • Discrete dynamical inclusions
  • Eigenvalue analysis

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