Distributed Set-Membership Approach Based on Zonotopes

2020 ◽  
pp. 57-69
Author(s):  
Ye Wang
Keyword(s):  
Set Membership

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 Dual Set Membership Filter with Minimizing Nonlinear Transformation of Ellipsoid

2021 ◽  
pp. 1-1
Author(s):  
Zhiguo Wang ◽  
Xiaojing Shen ◽  
Haiqi Liu ◽  
Fanqin Meng ◽  
Yunmin Zhu
Keyword(s):  
Nonlinear Transformation ◽  
Set Membership

scholarly journals Zonotopic set-membership estimation for Switched Systems based on Wi-Radius Minimization: Vehicle application

2020 ◽  
Vol 53 (2) ◽  
pp. 7446-7451
Author(s):  
Sara Ifqir ◽  
Vicenç Puig ◽  
Dalil Ichalal ◽  
Naima Ait-Oufroukh ◽  
Saïd Mammar
Keyword(s):  
Switched Systems ◽  
Set Membership

scholarly journals Ellipsoid bundle and its application to set-membership estimation

2020 ◽  
Vol 53 (2) ◽  
pp. 13688-13693
Author(s):  
Wentao Tang ◽  
Qinghua Zhang ◽  
Zhenhua Wang ◽  
Yi Shen
Keyword(s):  
Set Membership

Transient Analysis of the Set-Membership LMS Algorithm

2021 ◽  
pp. 1-1
Author(s):  
Newton N. Siqueira ◽  
Tiago P. Ferreira ◽  
Leonardo C. Resende ◽  
Rodrigo M. S. Pimenta ◽  
Diego B. Haddad ◽  
...  
Keyword(s):  
Transient Analysis ◽  
Lms Algorithm ◽  
Set Membership

scholarly journals Nested Sampling Approach to Set-membership Estimation

2020 ◽  
Vol 53 (2) ◽  
pp. 7228-7233
Author(s):  
Radoslav Paulen ◽  
Lucian Gomoescu ◽  
Benoît Chachuat
Keyword(s):  
Nested Sampling ◽  
Set Membership ◽  
Sampling Approach
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