Serial interconnections of 1-contracting and 2-contracting systems
Name
2104.00928v2.pdf
Description
Accepted version
Size
268.6 KB
Format
Adobe PDF
Checksum (MD5)
d2969f81852ff6b157cd9efe345c8713
Author(s)
Ofir, Ron
Margaliot, Michael
Levron, Yoash
Slotine, Jean-Jacques
Date Issued
December 14, 2021
Publisher
IEEE
Citation
R. Ofir, M. Margaliot, Y. Levron and J. -J. Slotine, "Serial interconnections of 1-contracting and 2-contracting systems," 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, pp. 3906-3911.
Version
Author's final manuscript
Abstract
The flow of contracting systems contracts 1dimensional polygons (i.e. lines) at an exponential rate. One reason for the usefulness of contracting systems is that many interconnections of contracting sub-systems yield an overall contracting system. A recent generalization of contracting systems is called k-contracting systems, where k ∈{1,...,n}. The flow of such systems contracts k-dimensional polygons at an exponential rate, and in particular they reduce to contracting systems when k = 1. Here, we analyze serial interconnections of 1-contracting and 2-contracting systems. We provide conditions guaranteeing that such interconnections have a well-ordered asymptotic behaviour, and demonstrate the theoretical results using several examples.
Description
2021 60th IEEE Conference on Decision and Control (CDC) December 13-15, 2021. Austin, Texas
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Terms of Use
Creative Commons Attribution-Noncommercial-ShareAlike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/cdc45484.2021.9682810
