CUED Publications database

Differentially Positive Systems

Forni, F and Sepulchre, R (2016) Differentially Positive Systems. IEEE Transactions on Automatic Control, 61. pp. 346-359. ISSN 0018-9286

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The paper introduces and studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. A generalization of Perron-Frobenius theory is developed in this differential framework to show that the property induces a conal order that strongly constrains the asymptotic behavior of solutions. The results illustrate that behaviors constrained by local order properties extend beyond the well-studied class of linear positive systems and monotone systems, which both require a constant cone field and a linear state space.

Item Type: Article
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 17 Jul 2017 19:19
Last Modified: 09 Sep 2021 03:04
DOI: 10.1109/TAC.2015.2437523