Details

Autor(en) / Beteiligte

• Malti, Rachid
• Thomassin, Magalie

Titel

Differentiation similarities in fractional pseudo-state space representations and the subspace-based methods

Ist Teil von

• Fractional calculus & applied analysis, 2013-03, Vol.16 (1), p.273-287

Ort / Verlag

Heidelberg: SP Versita

Erscheinungsjahr

2013

Quelle

springer (창간호~2014)

Beschreibungen/Notizen

• The paper starts by presenting a new concept of differentiation similarity transformations for commensurate pseudo-states-space representations. It is proven that a pseudo-state-space representation with a commensurate differentiation order ν and a dimension of the transition matrix n can be similar to a pseudo-state-space representation with a commensurate order ν/k and a dimension of the transition matrix kn , where k is an integer number. A direct consequence of the aforementioned concept in fractional subspace-based identification methods for MIMO systems is that an overestimated pseudo-state-space representation has multiple minimums at commensurate differentiation orders over the integral number k . This result is especially visible when deterministic input/output signals are considered and less visible in the stochastic case due to overestimation.