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Alexander Davydov
Alexander Davydov
Graduate Student, UC Santa Barbara
Verified email at ucsb.edu - Homepage
Title
Cited by
Cited by
Year
Non-Euclidean contraction theory for robust nonlinear stability
A Davydov, S Jafarpour, F Bullo
IEEE Transactions on Automatic Control 67 (12), 6667-6681, 2022
70*2022
Robust Implicit Networks via Non-Euclidean Contractions
S Jafarpour, A Davydov, AV Proskurnikov, F Bullo
Advances in Neural Information Processing Systems 34, 2021
452021
Non-Euclidean contractivity of recurrent neural networks
A Davydov, AV Proskurnikov, F Bullo
2022 American Control Conference (ACC), 1527-1534, 2022
192022
Non-Euclidean contraction theory for monotone and positive systems
S Jafarpour, A Davydov, F Bullo
IEEE Transactions on Automatic Control 68 (9), 5653-5660, 2022
152022
Contracting dynamics for time-varying convex optimization
A Davydov, V Centorrino, A Gokhale, G Russo, F Bullo
arXiv e-prints, arXiv: 2305.15595, 2023
132023
Pursuer coordination in multi-player reach-avoid games through control barrier functions
A Davydov, P Rivera-Ortiz, Y Diaz-Mercado
IEEE Control Systems Letters 5 (6), 1910-1915, 2020
132020
Sparsity structure and optimality of multi-robot coverage control
A Davydov, Y Diaz-Mercado
IEEE Control Systems Letters 4 (1), 13-18, 2019
132019
Non-Euclidean contraction analysis of continuous-time neural networks
A Davydov, AV Proskurnikov, F Bullo
IEEE Transactions on Automatic Control, 2024
112024
The Yakubovich S-Lemma revisited: Stability and contractivity in non-Euclidean norms
AV Proskurnikov, A Davydov, F Bullo
SIAM Journal on Control and Optimization 61 (4), 1955-1978, 2023
112023
Euclidean contractivity of neural networks with symmetric weights
V Centorrino, A Gokhale, A Davydov, G Russo, F Bullo
IEEE Control Systems Letters 7, 1724-1729, 2023
112023
Robustness Certificates for Implicit Neural Networks: A Mixed Monotone Contractive Approach
S Jafarpour, M Abate, A Davydov, F Bullo, S Coogan
Learning for Dynamics and Control Conference, 2022
92022
From contraction theory to fixed point algorithms on Riemannian and non-Euclidean spaces
F Bullo, P Cisneros-Velarde, A Davydov, S Jafarpour
2021 60th IEEE Conference on Decision and Control (CDC), 2923-2928, 2021
92021
Time-varying convex optimization: A contraction and equilibrium tracking approach
A Davydov, V Centorrino, A Gokhale, G Russo, F Bullo
arXiv preprint arXiv:2305.15595, 2023
62023
Exponential stability of parametric optimization-based controllers via Lur’e contractivity
A Davydov, F Bullo
IEEE Control Systems Letters, 2024
52024
Positive competitive networks for sparse reconstruction
V Centorrino, A Gokhale, A Davydov, G Russo, F Bullo
Neural Computation 36 (6), 1163-1197, 2024
52024
Perspectives on contractivity in control, optimization, and learning
A Davydov, F Bullo
IEEE Control Systems Letters, 2024
42024
Non-Euclidean monotone operator theory and applications
A Davydov, S Jafarpour, AV Proskurnikov, F Bullo
Journal of Machine Learning Research 25 (307), 1-33, 2024
32024
Contractivity of distributed optimization and Nash seeking dynamics
A Gokhale, A Davydov, F Bullo
IEEE Control Systems Letters 7, 3896-3901, 2023
32023
Retrieving -Nearest Memories with Modern Hopfield Networks
A Davydov, S Jaffe, A Singh, F Bullo
Associative Memory {\&} Hopfield Networks in 2023, 2023
32023
Non-Euclidean monotone operator theory with applications to recurrent neural networks
A Davydov, S Jafarpour, AV Proskurnikov, F Bullo
2022 IEEE 61st Conference on Decision and Control (CDC), 6332-6337, 2022
32022
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