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- Alberto Padoan, Giordano Scarciotti, Alessandro Astolfi
- IEEE Transactions on Automatic Control
- 2017

The persistence of excitation of signals generated by time-invariant, autonomous, linear, and nonlinear systems is studied using a geometric approach. A rank condition is shown to be equivalent,â€¦ (More)

- Alberto Padoan, Giordano Scarciotti, Alessandro Astolfi
- IEEE 55th Conference on Decision and Control (CDCâ€¦
- 2016

The persistence of excitation condition for sequences generated by discrete-time, time-invariant, autonomous linear and nonlinear systems is studied. A rank condition is shown to be equivalent to theâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- IEEE 56th Annual Conference on Decision andâ€¦
- 2017

The model reduction problem for continuous-time, linear, time-invariant systems is studied at isolated singularities of the transfer function. The moments at a pole of the transfer function are shownâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- 54th IEEE Conference on Decision and Control (CDCâ€¦
- 2015

The problem of estimating the dimension of the state-space of an autonomous nonlinear system is considered. Assuming that sampled measurements of the output and finitely many of its time derivativesâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- IEEE 56th Annual Conference on Decision andâ€¦
- 2017

The classical notions of eigenvalue and of pole of a linear system are revisited using a geometric approach and extended to nonlinear systems exploiting the notions of f â€” reducing manifold and ofâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- 54th IEEE Conference on Decision and Control (CDCâ€¦
- 2015

The problem of identifying deterministic autonomous linear and nonlinear systems is studied. A specific version of the theory of deterministic subspace identification for discrete-time autonomousâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- American Control Conference (ACC)
- 2016

The problem of identifying an autonomous nonlinear system, that is, the problem of finding a state-space description of a given sequence generated by sampling the output of an unknown autonomousâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- IEEE Transactions on Automatic Control
- 2016

In this short note, the problem of locally reconstructing the state of a nonlinear system is studied. To avoid computational difficulties arising in the numerical differentiation of the output, theâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- European Control Conference (ECC)
- 2018

We consider the dimension estimation problem for nonlinear systems, that is, the problem of finding the least possible dimension of the state space of a (minimal) realization of a nonlinear systemâ€¦ (More)

- Alberto Padoan, Alessandro Astolfi
- American Control Conference (ACC)
- 2017

Moments of continuous random variables with a probability density function which can be represented as the impulse response of a linear time-invariant system are studied. Under some assumptions, theâ€¦ (More)