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Publications of A. Davydov
Articles in journal, book chapters
A. Davydov
,
S. Jafarpour
, and
F. Bullo
.
Non-Euclidean Contraction Theory for Robust Nonlinear Stability
.
IEEE Transactions on Automatic Control
, July 2021. Note: Conditionally accepted.
Keyword(s):
Contraction Theory
. [
bibtex-entry
]
S. Jafarpour
,
A. Davydov
, and
F. Bullo
.
Non-Euclidean Contraction Theory for Monotone and Positive Systems
.
IEEE Transactions on Automatic Control
, September 2021.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
Conference articles
A. Davydov
,
S. Jafarpour
, M. Abate,
F. Bullo
, and S. Coogan.
Comparative Analysis of Interval Reachability for Robust Implicit and Feedforward Neural Networks
. In
IEEE Conf. on Decision and Control
, 2022. Note: Submitted.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
A. Davydov
,
S. Jafarpour
,
A. V. Proskurnikov
, and
F. Bullo
.
Non-Euclidean Monotone Operator Theory with Applications to Recurrent Neural Networks
. In
IEEE Conf. on Decision and Control
, December 2022. Note: Submitted.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
A. Davydov
,
A. V. Proskurnikov
, and
F. Bullo
.
Non-Euclidean Contractivity of Recurrent Neural Networks
. In
American Control Conference
, 2022. Note: To appear.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
S. Jafarpour
, M. Abate,
A. Davydov
,
F. Bullo
, and S. Coogan.
Robustness Certificates for Implicit Neural Networks: A Mixed Monotone Contractive Approach
. In
Learning for Dynamics and Control Conference
, June 2022. Note: To appear.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
F. Bullo
,
P. Cisneros-Velarde
,
A. Davydov
, and
S. Jafarpour
.
From Contraction Theory to Fixed Point Algorithms on Riemannian and non-Euclidean Spaces
. In
IEEE Conf. on Decision and Control
, December 2021.
Keyword(s):
Contraction Theory
. [
bibtex-entry
]
S. Jafarpour
,
A. Davydov
,
A. V. Proskurnikov
, and
F. Bullo
.
Robust Implicit Networks via Non-Euclidean Contractions
. In
Advances in Neural Information Processing Systems
, December 2021.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
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