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International Journal of Control Volume 81, 2008 - Issue 3: Special Issue Dedicated to Professor Michel Fliess
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Fliess-Chern Series

On the convergence of Volterra series of finite dimensional quadratic MIMO systems

T. Hélie Ircam–CNRS–STMS UMR 9912, 1 place Igor Stravinsky, Paris, 75004, FranceCorrespondence[email protected]
&
B. Laroche Laboratoire des Signaux et Systémes, Université Paris-Sud–CNRS–Supélec, 3, rue Joliot Curie, Gif-Sur-Yvette, F-91190, France
Pages 358-370 | Accepted 09 Jul 2007, Published online: 06 Oct 2010

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Read on this site (2)

Mahmood Khatibi & Hasan Modir Shanechi. (2015) Using a modified Modal Series to analyse weakly nonlinear circuits. International Journal of Electronics 102:9, pages 1457-1474.
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Hugues Vinet. (2007) Science and Technology of Music and Sound: The IRCAM Roadmap. Journal of New Music Research 36:3, pages 207-226.
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Articles from other publishers (10)

Xiaoyu Lang, Christopher J. Damaren & Xibin Cao. (2020) Hybrid Finite-Frequency Attitude Control Motivated by Volterra Series. Journal of Guidance, Control, and Dynamics 43:8, pages 1432-1443.
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Hongyan Xing & Yan Yan. (2018) Detection of Low-Flying Target under the Sea Clutter Background Based on Volterra Filter. Complexity 2018, pages 1-12.
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Lorenzo Codecasa, Vincenzo d'Alessandro, Alessandro Magnani & Niccolo Rinaldi. (2017) Fast Nonlinear Dynamic Compact Thermal Modeling With Multiple Heat Sources in Ultra-Thin Chip Stacking Technology. IEEE Transactions on Components, Packaging and Manufacturing Technology 7:1, pages 58-69.
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R.S. Langley. (2015) Bounds on the vibrational energy that can be harvested from random base motion. Journal of Sound and Vibration 339, pages 247-261.
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Lorenzo Codecasa, Vincenzo d'Alessandro, Alessandro Magnani & Niccolo Rinaldi. (2014) Compact Dynamic Modeling for Fast Simulation of Nonlinear Heat Conduction in Ultra-Thin Chip Stacking Technology. IEEE Transactions on Components, Packaging and Manufacturing Technology 4:11, pages 1785-1795.
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Thomas Hélie & Béatrice Laroche. (2014) Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application. Automatica 50:9, pages 2334-2340.
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Thomas Helie & Béatrice Laroche. (2011) Computation of Convergence Bounds for Volterra Series of Linear-Analytic Single-Input Systems. IEEE Transactions on Automatic Control 56:9, pages 2062-2072.
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Thomas Helie & Beatrice Laroche. (2010) Computation of convergence radius and error bounds of Volterra series for multiple input systems with an analytic nonlinearity in state. Computation of convergence radius and error bounds of Volterra series for multiple input systems with an analytic nonlinearity in state.
Thomas Helie & Beatrice Laroche. (2009) Computation of convergence radius and error bounds of Volterra series for single input systems with a polynomial nonlinearity. Computation of convergence radius and error bounds of Volterra series for single input systems with a polynomial nonlinearity.
Thomas Hélie & David Roze. (2008) Sound synthesis of a nonlinear string using Volterra series. Journal of Sound and Vibration 314:1-2, pages 275-306.
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