An LMI formulation of small-gain theorems for 2-contraction of nonlinear interconnected systems
File(s)
Accepted version
Author(s)
Angeli, David
Martini, Davide
Innocenti, Giacomo
Tesi, Alberto
Type
Journal Article
Abstract
This paper introduces small-gain sufficient conditions for 2-contraction of feedback interconnected systems, on the basis of individual gains of suitable subsystems arising from a modular decomposition of the second additive compound matrix variational equation. The gains are computed through the solution of suitable LMI conditions. The criterion applies even to cases when individual subsystems might fail to be contractive, thanks to the extra margin of contraction afforded by the second additive compound matrix. One example is provided to illustrate the theory and show its degree of conservatism and scope of applicability.
Date Issued
2025-09-01
Date Acceptance
2025-04-01
Citation
IEEE Transactions on Automatic Control, 2025, 70 (9), pp.6214-6221
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
6214
End Page
6221
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
70
Issue
9
Copyright Statement
Copyright © 2025 IEEE. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2025-04-04