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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
50*2022
Robust Implicit Networks via Non-Euclidean Contractions
S Jafarpour, A Davydov, AV Proskurnikov, F Bullo
Advances in Neural Information Processing Systems 34, 2021
332021
Non-Euclidean contractivity of recurrent neural networks
A Davydov, AV Proskurnikov, F Bullo
2022 American Control Conference (ACC), 1527-1534, 2022
152022
Sparsity structure and optimality of multi-robot coverage control
A Davydov, Y Diaz-Mercado
IEEE Control Systems Letters 4 (1), 13-18, 2019
122019
Non-Euclidean contraction theory for monotone and positive systems
S Jafarpour, A Davydov, F Bullo
IEEE Transactions on Automatic Control, 2022
102022
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
102020
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
62023
Contracting dynamics for time-varying convex optimization
A Davydov, V Centorrino, A Gokhale, G Russo, F Bullo
arXiv preprint arXiv:2305.15595, 2023
62023
Euclidean contractivity of neural networks with symmetric weights
V Centorrino, A Gokhale, A Davydov, G Russo, F Bullo
IEEE Control Systems Letters, 2023
62023
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
62022
Non-Euclidean contraction analysis of continuous-time neural networks
A Davydov, AV Proskurnikov, F Bullo
arXiv preprint arXiv:2110.08298, 2021
62021
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
52021
Comparative analysis of interval reachability for robust implicit and feedforward neural networks
A Davydov, S Jafarpour, M Abate, F Bullo, S Coogan
2022 IEEE 61st Conference on Decision and Control (CDC), 2073-2078, 2022
32022
Contractivity of Distributed Optimization and Nash Seeking Dynamics
A Gokhale, A Davydov, F Bullo
IEEE Control Systems Letters, 2023
12023
Retrieving -Nearest Memories with Modern Hopfield Networks
A Davydov, S Jaffe, A Singh, F Bullo
Associative Memory {\&} Hopfield Networks in 2023, 2023
12023
Positive Competitive Networks for Sparse Reconstruction
V Centorrino, A Gokhale, A Davydov, G Russo, F Bullo
arXiv preprint arXiv:2311.03821, 2023
12023
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
12022
Robust Training and Verification of Implicit Neural Networks: A Non-Euclidean Contractive Approach
S Jafarpour, A Davydov, M Abate, F Bullo, S Coogan
ICML Workshop on Formal Verification of Machine Learning, 2022
12022
Low-Mobility Atmospheric Sensing via Multi-Vehicle Adaptive Coverage Control
A Davydov, DW Yeo, Y Diaz-Mercado
AIAA Aviation 2020 Forum, 2821, 2020
12020
Exponential Stability of Parametric Optimization-Based Controllers via Lur'e Contractivity
A Davydov, F Bullo
arXiv preprint arXiv:2403.08159, 2024
2024
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Articles 1–20