Positive state controllability of positive linear systems

Chris Guiver, Dave Hodgson, Stuart Townley

Research output: Contribution to journalArticle

  • 5 Citations

Abstract

Controllability of positive systems by positive inputs arises naturally in applications where both external and internal variables must remain positive for all time. In many applications, particularly in population biology, the need for positive inputs is often overly restrictive. Relaxing this requirement, the notion of positive state controllability of positive systems is introduced. A connection between positive state controllability and positive input controllability of a related system is established and used to obtain Kalman-like controllability criteria. In doing so we aim to encourage further study in this underdeveloped area.

LanguageEnglish
Pages23-29
Number of pages7
JournalSystems & Control Letters
Volume65
Issue number1
Early online date20 Jan 2014
DOIs
StatusPublished - Mar 2014

Fingerprint

Controllability
Linear systems

Keywords

  • Constrained system
  • Controllability
  • Discrete time
  • Linear system
  • Population ecology
  • Positive system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Computer Science(all)
  • Mechanical Engineering

Cite this

Positive state controllability of positive linear systems. / Guiver, Chris; Hodgson, Dave; Townley, Stuart.

In: Systems & Control Letters, Vol. 65, No. 1, 03.2014, p. 23-29.

Research output: Contribution to journalArticle

Guiver, Chris ; Hodgson, Dave ; Townley, Stuart. / Positive state controllability of positive linear systems. In: Systems & Control Letters. 2014 ; Vol. 65, No. 1. pp. 23-29
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