Differential Positivity on Compact Sets
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Peer-reviewed
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Abstract
The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. Extending the results in [7], 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.
Description
Journal Title
2015 54th IEEE Conference on Decision and Control (CDC)
Conference Name
2015 54th IEEE Conference on Decision and Control (CDC)
Journal ISSN
0743-1546
2576-2370
2576-2370
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Publisher
Institute of Electrical and Electronics Engineers (IEEE)
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Sponsorship
Engineering and Physical Sciences Research Council (EP/G066477/1)
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.