Title :
Differential positivity on compact sets
Author_Institution :
University of Cambridge, Department of Engineering, Trumpington Street, CB2 1PZ, United Kingdom
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.
Keywords :
"Measurement","Trajectory","Manifolds","Solids","Linear systems","Nonlinear systems","System dynamics"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7403220
