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Peer-reviewed journal publications

• A. Padoan and A. Astolfi, “Singularities and moments of nonlinear systems,” IEEE Trans. Autom. Control, 2019, to appear. [PDF]
• A. Padoan and A. Astolfi, “Moments of random variables: a systems-theoretic interpretation,” IEEE Trans. Autom. Control, vol. 64, no. 11, pp. 4407 –4422, 2019. [PDF]
• A. Padoan, G. Scarciotti, and A. Astolfi, “A geometric characterisation of the persistence of excitation condition for the solutions of autonomous systems,” IEEE Trans. Autom. Control, vol. 62, no. 11, pp. 5666 –5677, 2017. [PDF]
• A. Padoan and A. Astolfi, “A note on delay coordinates for locally observable analytic systems,” IEEE Trans. Autom. Control, vol. 61, no. 5, pp. 1409–1412, 2015. [PDF]

Peer-reviewed conference publications

• A. Padoan, F. Forni, and R. Sepulchre, “ Model reduction by balanced truncation for dominant Lure systems,” 21st IFAC World Congr., Berlin, Germany, to appear. [arXiv]
• A. Padoan, F. Forni, and R. Sepulchre, “The H_∞,p norm as the differential gain of a p-dominant system,” in Proc. 57th Conf. Decision Control, 2019, pp. 6748-6753. [arXiv]
• A. Padoan, F. Forni, and R. Sepulchre, “Dominance margins for feedback systems,” 11th IFAC Symp. Nonlinear Control Syst., 2019, pp. 1176-1181. [arXiv]
• A. Padoan and A. Astolfi, “On the notion of moment at a pole of a nonlinear system,” in Proc. 23rd Math. Symp. Netw. Syst., Hong Kong, 2018, pp. 408–413. [PDF]
• A. Padoan and A. Astolfi, “Dimension estimation for nonlinear systems,” in Proc. Eur. Control Conf., Limassol, Cyprus, 2018, pp. 184–189. [PDF]
• A. Padoan and A. Astolfi, “Eigenvalues and poles of a nonlinear system: A geometric approach,” in Proc. 56th Conf. Decision Control, Melbourne, Australia, 2017, pp. 2575–2580. [PDF]
• A. Padoan and A. Astolfi, “Model reduction by moment matching at isolated singularities for linear systems: A geometric approach,” in Proc. 56th Conf. Decision Control, Melbourne, Australia, 2017, pp. 4807–4812. [PDF]
• A. Padoan and A. Astolfi, “Model reduction by moment matching at isolated singularities for linear systems: A complex analytic approach,” in Proc. 20th IFAC World Congr., Toulouse, France, 2017, pp. 6524–6528. [PDF]
• A. Padoan and A. Astolfi, “Moments of random variables: a system-theoretic interpretation,” in Proc. Amer. Control Conf., Seattle, WA, USA, 2017, pp. 1035–1040. [PDF]
• A. Padoan, G. Scarciotti, and A. Astolfi, “A geometric characterisation of persistently exciting sequences generated by discrete-time autonomous systems,” in Proc. 55th Conf. Decision Control, Las Vegas, NV, USA, 2016, pp. 3843–3847. [PDF]
• A. Padoan, G. Scarciotti, and A. Astolfi, “A geometric characterisation of persistently exciting signals generated by autonomous systems,” in 10th IFAC Symp. Nonlinear Control Syst., Monterey, CA, USA, 2016, pp. 838–843. [PDF]
• A. Padoan and A. Astolfi, “Nonlinear system identification for autonomous systems via functional equations methods,” in Proc. Amer. Control Conf., Boston, MA, USA, 2016, pp. 2378–5861. [PDF]
• A. Padoan and A. Astolfi, “Towards deterministic subspace identification for autonomous nonlinear systems,” in Proc. 54th Conf. Decision Control, Osaka, Japan, 2015, pp. 127–132. [PDF]
• A. Padoan and A. Astolfi, “Dimension estimation for autonomous nonlinear systems,” in Proc. 54th Conf. Decision Control, Osaka, Japan, 2015, pp. 103–108. [PDF]
• A. Padoan and A. Astolfi, “Model reduction by moment matching for ZIP systems,” in Proc. 53rd Conf. Decision Control, Los Angeles, CA, USA, 2014, pp. 3631–3636. [PDF]

Ph.D. Thesis

• A. Padoan, “Geometric methods for modelling and approximation of nonlinear systems,” PhD Thesis, Imperial College London, 2018. [PDF]