Publications
Journal Publications
Saber Jafarpour, Alexander Davydov, and Francesco Bullo. “Non-Euclidean Contraction Theory for Monotone and Positive Systems,” IEEE Transactions on Automatic Control, vol. 68, no. 9, pp. 5653-5660, Sept. 2023. [DOI] [URL]
Anton V. Proskurnikov, Alexander Davydov, and Francesco Bullo. “The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms,” SIAM Journal on Control and Optimization, vol. 61, no. 4, pp. 1955-1978, July 2023. [DOI], [URL]
Veronica Centorrino, Anand Gokhale, Alexander Davydov, Giovanni Russo, and Francesco Bullo. “Euclidean Contractivity of Neural Networks With Symmetric Weights,” IEEE Control Systems Letters, vol. 7, pp. 1724-1729, May 2023. [DOI], [URL]
Alexander Davydov, Saber Jafarpour, and Francesco Bullo. “Non-Euclidean Contraction Theory for Robust Nonlinear Stability,” IEEE Transactions on Automatic Control, vol. 67, no. 12, pp. 6667-6681, Dec. 2022. [DOI], [URL]
Alexander Davydov, Phillip Rivera-Ortiz, and Yancy Diaz-Mercado. “Pursuer Coordination in Multi-Player Reach-Avoid Games through Control Barrier Functions,” IEEE Control Systems Letters, vol. 5, no. 6, pp. 1910-1915, Dec. 2020. [DOI] [URL]
Alexander Davydov and Yancy Diaz-Mercado. “Sparsity Structure and Optimality of Multi-Robot Coverage Control,” IEEE Control Systems Letters, vol. 4, no. 1, pp. 13-18, Jan. 2020. [DOI] [URL]
Conference Publications
Xiaotian Xu, Alexander Davydov, and Yancy Diaz-Mercado. “On the Equivalence of Multi-Agent 2D Coverage Control and Leader-Follower Consensus Network,” American Control Conference, pp. 503-508, June 2023. [DOI] [URL]
Alexander Davydov*, Saber Jafarpour*, Anton V. Proskurnikov, and Francesco Bullo. “Non-Euclidean Monotone Operator Theory with Applications to Recurrent Neural Networks,” IEEE Conference on Decision and Control, pp. 6332-6337, Dec. 2022. [DOI]
Alexander Davydov*, Saber Jafarpour*, Matthew Abate, Francesco Bullo, and Samuel Coogan. “Comparative Analysis of Interval Reachability for Robust Implicit and Feedforward Neural Networks,” IEEE Conference on Decision and Control, pp. 2073-2078, Dec. 2022. [DOI]
Alexander Davydov, Anton V. Proskurnikov, and Francesco Bullo. “Non-Euclidean Contractivity of Recurrent Neural Networks,” American Control Conference, pp. 1527-1534, Jun. 2022. [DOI] Best Student Paper Award Finalist
Saber Jafarpour*, Matthew Abate*, Alexander Davydov*, Francesco Bullo, and Samuel Coogan. “Robustness Certificates for Implicit Neural Networks: A Mixed Monotone Contractive Approach,” Learning for Dynamics and Control Conference, pp. 917-930, Jun. 2021. [URL] Oral Presentation
Saber Jafarpour*, Alexander Davydov*, Anton V. Proskurnikov, and Francesco Bullo. “Robust Implicit Networks via Non-Euclidean Contractions,” 35th Conference on Neural Information Processing Systems, Dec. 2021. [URL], [OpenReview]
Francesco Bullo, Pedro Cisneros-Velarde, Alexander Davydov, and Saber Jafarpour. “From Contraction Theory to Fixed Point Algorithms on Riemannian and non-Euclidean Spaces,” IEEE Conference on Decision and Control, pp. 2923-2928, Dec. 2021. [DOI], [URL] (Invited Tutorial Paper)
Alexander Davydov, Derrick W. Yeo, and Yancy Diaz-Mercado. “Low-Mobility Atmospheric Sensing via Multi-Vehicle Adaptive Coverage Control,” AIAA AVIATION 2020 FORUM, Jun. 2020. [DOI]
Preprints and Publications Under Review
Alexander Davydov, Veronica Centorrino, Anand Gokhale, Giovanni Russo, and Francesco Bullo. “Contracting Dynamics for Time-Varying Convex Optimization,” IEEE Transactions on Automatic Control, June 2023. [URL]
Alexander Davydov*, Saber Jafarpour*, Anton V. Proskurnikov, and Francesco Bullo. “Non-Euclidean Monotone Operator Theory and Applications,” Journal of Machine Learning Research, May 2023. [URL] Submitted
Alexander Davydov, Anton V. Proskurnikov, and Francesco Bullo. “Non-Euclidean Contraction Analysis of Continuous-Time Neural Networks,” IEEE Transactions on Automatic Control, September 2022. [URL] Submitted
* – These authors contributed equally