Controllability for positive discrete–time linear systems with positive state

Guiver, Christopher; Townley, Stuart

Abstract

Controllability of componentwise nonnegative discrete-time linear systems is considered. The key difference here from the well-established positive systems theory is that we permit the case where the input takes negative values, provided that the state remains nonnegative. Such a framework is very natural, moreover necessary, in situations such as population ecology to describe the control actions of harvesting or culling. The present contribution summarises recently published material by the authors and considers a novel application in low-gain PI control

Citation

Guiver, C., & Townley, S. (2014). Controllability for positive discrete–time linear systems with positive state. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (1387-1394)

• Conference Name: The 21st International Symposium on Mathematical Theory of Networks and Systems
• Conference Location: Groningen, The Netherlands
• Start Date: Jul 7, 2014
• End Date: Jul 11, 2014
• Acceptance Date: Apr 30, 2014
• Publication Date: 2014
• Deposit Date: Jul 23, 2020
• Pages: 1387-1394
• Book Title: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems
• ISBN: 978-90-367-6321-9
• Public URL: http://researchrepository.napier.ac.uk/Output/2677405
• Publisher URL: http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0123.pdf