Controllability and observability of a well-posed system coupled with a finite-dimensional system

Xiaowei Zhao, George Weiss

Research output: Contribution to journalArticlepeer-review

Abstract

We consider coupled systems consisting of a well-posed and strictly proper (hence regular) subsystem and a finite-dimensional subsystem connected in feedback. The external world interacts with the coupled system via the finite-dimensional part, which receives the external input and sends out the output. Under several assumptions, we derive well-posedness, regularity, exact (or approximate) controllability and exact (or approximate) observability results for such coupled systems.

Original languageEnglish
Article number5508363
Pages (from-to)88-99
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume56
Issue number1
DOIs
StatePublished - Jan 2011

Keywords

  • Approximate controllability
  • approximate observability
  • coupled system
  • exact controllability
  • exact observability
  • simultaneous observability
  • well-posed system

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