Linearization in the parameters via differential algebra techniques

2003 ◽  
Vol 36 (16) ◽  
pp. 1209-1214
Author(s):  
Maria Pia Saccomani
Keyword(s):  
Differential Algebra

scholarly journals Set-membership identifiability of nonlinear models and related parameter estimation properties

2016 ◽  
Vol 26 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Carine Jauberthie ◽  
Louise Travé-MassuyèEs ◽  
Nathalie Verdière
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Dynamic System ◽  
Nonlinear Models ◽  
Differential Algebra ◽  
Related Parameter ◽  
Set Membership ◽  
Estimation Problems ◽  
The Mathematical Model

Abstract Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

scholarly journals An embedding of Schwartz distributions in the algebra of asymptotic functions

1998 ◽  
Vol 21 (3) ◽  
pp. 417-428 ◽  
Author(s):  
Michael Oberguggenberger ◽  
Todor Todorov
Keyword(s):  
Differential Algebra ◽  
Generalized Functions ◽  
Schwartz Distributions ◽  
Asymptotic Functions ◽  
Space Of Distributions ◽  
Asymptotic Function

We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper “asymptotic function,” similar to but different from J. F Colombeau's algebras of new generalized functions.

Differential algebra

2020 ◽  
pp. 1-22
Author(s):  
Yves André ◽  
Francesco Baldassarri ◽  
Maurizio Cailotto
Keyword(s):  
Differential Algebra

Gravity assist space pruning based on differential algebra

2009 ◽  
Vol 106 (1) ◽  
pp. 1-24 ◽  
Author(s):  
R. Armellin ◽  
P. Di Lizia ◽  
F. Topputo ◽  
M. Lavagna ◽  
F. Bernelli-Zazzera ◽  
...  
Keyword(s):  
Differential Algebra ◽  
Gravity Assist

scholarly journals Modules of imperfection in differential algebra

1980 ◽  
Vol 65 (2) ◽  
pp. 307-316 ◽  
Author(s):  
Joseph Johnson
Keyword(s):  
Differential Algebra
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