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Sub-diagonal pivot structures and associated canonical forms under state isometries

Abstract : Many normalizations in various classes of linear dynamical state-space systems lead to system representations which are determined up to a state isometry. Here we present a new set of techniques to obtain (local) canonical forms under state isometries, using what we call sub-diagonal pivot structures. These techniques lead to a very flexible, straightforward algorithm to put any system into canonical form under state isometries. The parametrization of these canonical forms is discussed for a number of classes, including lossless systems and input-normal stable systems both in discrete time and in continuous time.
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Bernard Hanzon, Martine Olivi, Ralf L.M. Peeters. Sub-diagonal pivot structures and associated canonical forms under state isometries. IFAC Symposium on System Identification, SYSID 2009, Jul 2009, Saint-Malo, France. pp.1620-1625, ⟨10.3182/20090706-3-FR-2004.00269⟩. ⟨hal-00753658⟩

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