Efficient Calculation of the Transition Matrix in a Max-Plus Linear State-Space Representation

2008 ◽  
Vol E91-A (5) ◽  
pp. 1278-1282 ◽  
Author(s):  
H. GOTO
Keyword(s):  
State Space ◽  
Transition Matrix ◽  
Space Representation ◽  
State Space Representation ◽  
Efficient Calculation ◽  
Linear State

Linear State-Space Representation of the Axial Dynamics of Electrodynamic Thrust Bearings

2016 ◽  
Vol 52 (10) ◽  
pp. 1-12 ◽  
Author(s):  
Joachim Van Verdeghem ◽  
Corentin Dumont ◽  
Virginie Kluyskens ◽  
Bruno Dehez
Keyword(s):  
State Space ◽  
Space Representation ◽  
Thrust Bearings ◽  
State Space Representation ◽  
Linear State

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

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Rachid Malti ◽  
Magalie Thomassin
Keyword(s):  
State Space ◽  
Transition Matrix ◽  
Mimo Systems ◽  
Direct Consequence ◽  
Space Representation ◽  
Integer Number ◽  
State Space Representation ◽  
Similarity Transformations ◽  
Integral Number ◽  
Stochastic Case

AbstractThe 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.

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