Positive state controllability of positive linear systems
Hodgson, David J.
Systems and Control Letters
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.
Engineering and Physical Sciences Research Council (EPSRC)
Copyright © 2014 Elsevier. NOTICE: this is the author’s version of a work that was accepted for publication in Systems and Control Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Systems and Control Letters Vol. 65 (2014), DOI: 10.1016/j.sysconle.2013.12.002
Vol. 65, pp. 23 - 29