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16 papers · 2 filters

math.OC2010★ 10 cited

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…

math.OC2010★ 10 cited

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…

math.OC2010★ 28 cited

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…

math.OC2010★ 51 cited

Ergodic Control and Polyhedral approaches to PageRank Optimization

Olivier Fercoq, Marianne Akian, Mustapha Bouhtou +1

We study a general class of PageRank optimization problems which consist in finding an optimal outlink strategy for a web site subject to design constraints. We consider both a con…

math.OC2010

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…

math.OC2010★ 3 cited

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…