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On Symbolic Approaches to Integro-Differential Equations

Abstract : Recent progress in computer algebra has opened new opportunities for the parameter estimation problem in nonlinear control theory, by means of integro-differential input-output equations. This paper recalls the origin of integro-differential equations. It presents new opportunities in nonlinear control theory. Finally, it reviews related recent theoretical approaches on integro-differential algebras, illustrating what an integro-differential elimination method might be and what benefits the parameter estimation problem would gain from it.
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https://hal.archives-ouvertes.fr/hal-01367138
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Submitted on : Tuesday, October 18, 2016 - 5:19:39 PM
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François Boulier, François Lemaire, Markus Rosenkranz, Rosane Ushirobira, Nathalie Verdière. On Symbolic Approaches to Integro-Differential Equations. Alban Quadrat; Eva Zerz. Algebraic and Symbolic Computation Methods in Dynamical Systems, 9, Springer, pp.161-182, 2020, Advances in Delays and Dynamics, ⟨10.1007/978-3-030-38356-5_6⟩. ⟨hal-01367138v2⟩

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