Positive state controllability of positive linear systems


Guiver, C., Hodgson, D. and Townley, S., 2014. Positive state controllability of positive linear systems. Systems & Control Letters, 65 (1), pp. 23-29.

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    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. © 2013 Elsevier B.V. All rights reserved.


    Item Type Articles
    CreatorsGuiver, C., Hodgson, D. and Townley, S.
    Related URLs
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    Uncontrolled Keywordsconstrained system,controllability,discrete time,linear system,population ecology,positive system,control and systems engineering,electrical and electronic engineering,computer science(all),mechanical engineering
    DepartmentsFaculty of Science > Mathematical Sciences
    Research CentresCentre for Mathematical Biology
    EPSRC Centre for Doctoral Training in Statistical Mathematics (SAMBa)
    ID Code50921


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