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Communication Dans Un Congrès Année : 2008

Convergence radius and guaranteed error bound for the Volterra series expansion of finite dimensional quadratic systems

Thomas Hélie
Béatrice Laroche

Résumé

In this paper, the Volterra series decomposition of a class of quadratic, time invariant single-input finite dimensional systems is considered. These systems are represented using Volterra series. An explicit and computable lower bound of the radius of convergence is obtained. Moreover, guaranteed error bounds in Loo(R+) are given for the truncated series. These results are illustrated on numerical simulations performed on academic examples.

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Dates et versions

hal-01106327 , version 1 (20-01-2015)

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  • HAL Id : hal-01106327 , version 1

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Thomas Hélie, Béatrice Laroche. Convergence radius and guaranteed error bound for the Volterra series expansion of finite dimensional quadratic systems. Mediterranean Conference on Control and Automation, Jun 2008, Ajaccio, Corsica, France, France. pp.741-746. ⟨hal-01106327⟩
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