Differential positivity on compact sets
2015 54th IEEE Conference on Decision and Control (CDC)
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Forni, F. (2015). Differential positivity on compact sets. 2015 54th IEEE Conference on Decision and Control (CDC), 6355-6360. https://doi.org/10.1109/CDC.2015.7403220
The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. Extending the results in , we illustrate the use of differential positivity on compact forward invariant sets for the characterization of bistable and periodic behaviors. Geometric conditions for differential positivity are provided. The introduction of compact sets simplifies the use of differential positivity in applications.
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.
External DOI: https://doi.org/10.1109/CDC.2015.7403220
This record's URL: https://www.repository.cam.ac.uk/handle/1810/251263