scholarly journals Identification of nonlinear nonautonomous state space systems from input-output measurements

2005 ◽  
Author(s):  
V. Verdult ◽  
M. Verhaegen ◽  
J. Scherpen
Keyword(s):  
State Space ◽  
Space Systems ◽  
Input Output ◽  
State Space Systems

scholarly journals An Algebraic Approach to Identifiability

Algorithms ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 255
Author(s):  
Daniel Gerbet ◽  
Klaus Röbenack
Keyword(s):  
Algebraic Geometry ◽  
State Space ◽  
Differential Algebra ◽  
Gröbner Bases ◽  
Algebraic Approach ◽  
Grobner Bases ◽  
Space Systems ◽  
Input Output ◽  
Polynomial Ideals ◽  
State Space Systems

This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra. The authors use a different algebraic approach, which is based on distinguishability and observability. Employing techniques from algebraic geometry such as polynomial ideals and Gröbner bases, local as well as global results are derived. The methods are illustrated on some example systems.

Identification of LPV State Space systems by a separable least squares approach

2013 ◽  
Author(s):  
P. Lopes dos Santos ◽  
T.-P Azevedo-Perdicoulis ◽  
J. A. Ramos ◽  
J. L. Martins de Carvalho ◽  
Daniel E. Rivera
Keyword(s):  
Least Squares ◽  
State Space ◽  
Space Systems ◽  
State Space Systems ◽  
Least Squares Approach
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