Path-Complete p-Dominant Switching Linear Systems

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Authors
Berger, GO
  Forni, Fulvio
Jungers, RM
Publication Date
2018
Journal Title
Proceedings of the IEEE Conference on Decision and Control
Conference Name
2018 IEEE Conference on Decision and Control (CDC)
ISSN
0743-1546
ISBN
9781538613955
Publisher
IEEE
Volume
2018-December
Pages
6446-6451
Type
Conference Object
This Version
NA
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Citation
Berger, G., Forni, F., & Jungers, R. (2018). Path-Complete p-Dominant Switching Linear Systems. Proceedings of the IEEE Conference on Decision and Control, 2018-December 6446-6451. https://doi.org/10.1109/CDC.2018.8619703
Abstract
The notion of path-complete $p$-dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI systems. Path-dominance is characterized by the contraction property of a set of quadratic cones in the state space. We show that path-dominant systems have a low-dimensional dominant behavior, and hence allow for a simplified analysis of their dynamics. An algorithm for deciding the path-dominance of a given system is presented.
Identifiers
External DOI: https://doi.org/10.1109/CDC.2018.8619703
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288225
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