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

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 L
^infin
(Ropf
₊
) are given for the truncated series. These results are illustrated on numerical simulations performed on academic examples.