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On controllability with respect to the expectation of discrete time jump linear systems

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28 Citations (Scopus)

Abstract

In this paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by a finite state Markov chain. Necessary and sufficient conditions for existence of a control which governs the expectation of the state of the system from any initial condition to a given target value at a given time are presented. Comparison with other definitions of controllability for such systems is also done.

Original languageEnglish
Pages (from-to)443-453
Number of pages11
JournalJournal of the Franklin Institute
Volume338
Issue number4
DOIs
Publication statusPublished - Jul 2001

Keywords

  • Controllability
  • Jump parameter
  • Linear system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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