Differentially Positive Systems
Change log
Authors
Forni, Fulvio https://orcid.org/0000-0002-5728-0176
Sepulchre, Rodolphe https://orcid.org/0000-0002-7047-3124
Abstract
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.
Description
Keywords
Convergence, differentially positive systems
Journal Title
IEEE Transactions on Automatic Control
Conference Name
Journal ISSN
0018-9286
1558-2523
1558-2523
Volume Title
61
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publisher DOI
Sponsorship
European Research Council (670645)
The research was supported by the Fund for Scientific Research FNRS and by the Engineering and Physical Sciences Research Council under Grant EP/G066477/1.