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Publications of A. Davydov
Articles in journal, book chapters
  1. 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]


  2. 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
  1. 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]


  2. 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]


  3. 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]


  4. 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]


  5. 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]


  6. 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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