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10 papers · 2 filters
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Jean-Paul Marmorat, Martine Olivi
We investigate the parametrization issue for discrete-time stable all-pass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition. A recur…
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Ralf L. M. Peeters, Bernard Hanzon, Martine Olivi
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllabil…
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Bernard Hanzon, Martine Olivi, Ralf L. M. Peeters
In this paper, the connections are investigated between two different approaches towards the parametrization of multivariable stable all-pass systems in discrete-time. The first ap…
Minimal time control of fed-batch processes with growth functions having several maxima
Alain Rapaport, Denis Dochain
We address the issue of minimal time optimal control of fedbatch reactor in presence of complex non monotonic kinetics, that can be typically characterized by the combination of tw…
Stabilization of a delayed quantum system: the photon box case-study
Hadis Amini, Mazyar Mirrahimi, Pierre Rouchon
We study a feedback scheme to stabilize an arbitrary photon number state in a microwave cavity. The quantum non-demolition measurement of the cavity state allows a non-deterministi…
A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs
Brigitte D'Andrea Novel, Michel Fliess, Cédric Join +2
The ubiquity of PID controllers in the industry has remained mysterious until now. We provide here a mathematical explanation of this strange phenomenon by comparing their sampling…