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Differential Positivity on Compact Sets

The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. 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.

preprint2015arXivOpen access
Fulvio Forni
Systems and Controlmath.DS
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Fulvio Forni

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