Positive state controllability of positive linear systems

Guiver, Chris; Hodgson, Dave; Townley, Stuart

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.

Citation

Guiver, C., Hodgson, D., & Townley, S. (2014). Positive state controllability of positive linear systems. Systems and Control Letters, 65, 23-29. https://doi.org/10.1016/j.sysconle.2013.12.002

• Journal Article Type: Article
• Acceptance Date: Dec 3, 2013
• Online Publication Date: Jan 20, 2014
• Publication Date: 2014-03
• Deposit Date: Jul 23, 2020
• Publicly Available Date: Aug 11, 2020
• Journal: Systems & Control Letters
• Print ISSN: 0167-6911
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 65
• Pages: 23-29
• DOI: https://doi.org/10.1016/j.sysconle.2013.12.002
• Keywords: Constrained system, Controllability, Discrete time, Linear system, Population ecology, Positive system
• Public URL: http://researchrepository.napier.ac.uk/Output/2677370