Estimatable linear systems

G. Weiss, R. Rebarber

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A well-posed linear system is said to be optimizable if for any initial state, an input function in L2 can be found such that the state trajectory is in L2 (this is also known as the finite cost condition). The dual property, estimatability concerns the possibility of estimating the final state of the system at time t = 0, based on the knowledge of its output function for all negative time. We explore these properties, their duality, their optimal versions, and their connection with stabilizability and detectability.

Original languageEnglish
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2931-2936
Number of pages6
ISBN (Electronic)9783952426906
DOIs
StatePublished - 8 Apr 1997
Externally publishedYes
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: 1 Jul 19974 Jul 1997

Publication series

NameECC 1997 - European Control Conference

Conference

Conference4th European Control Conference, ECC 1997
Country/TerritoryBelgium
CityBrussels
Period1/07/974/07/97

Keywords

  • Detectability
  • Optimizability
  • Stabilizability
  • State estimation

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