Positive state controllability of positive linear systems

Chris Guiver, Dave Hodgson, Stuart Townley

Research output: Contribution to journalArticlepeer-review

11 Citations (SciVal)
206 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)23-29
Number of pages7
JournalSystems & Control Letters
Issue number1
Early online date20 Jan 2014
Publication statusPublished - Mar 2014


  • 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


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