Observer theory

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The paper is devoted to a comprehensive exposition of the theory of partial state observers in the state space context and the elucidation of the connection between this theory and the theory of observers in the behavioral context, as developed in Valcher and Willems [1999]. For this we use several techniques, including geometric control theory, polynomial and rational models, shift realizations, coprime factorizations, partial realizations and the basic results on behaviors and behavior homomorphisms. A connection between observers and the construction of state maps is made.

Original languageEnglish
Pages (from-to)44-136
Number of pages93
JournalLinear Algebra and Its Applications
Issue number1
StatePublished - 1 Jan 2008


  • Behavior homomorphisms
  • Behavioral observers
  • Behaviors
  • Geometric control
  • Internal model principle
  • Partial realizations
  • Partial state observers
  • State maps

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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