Learning H ∞Model Sets from Data: The Set Membership Approach

2003 ◽  
pp. 65-87
Author(s):  
Mario Milanese ◽  
Michele Taragna
Keyword(s):  
Model Sets ◽  
Set Membership

Model sets with positive entropy in Euclidean cut and project schemes

2019 ◽  
Vol 52 (5) ◽  
pp. 1073-1106 ◽  
Author(s):  
Tobias JÄGER ◽  
Daniel LENZ ◽  
Christian OERTEL
Keyword(s):  
Positive Entropy ◽  
Model Sets

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 Design of a structure model set for inorganic compounds based on ping-pong balls linked with snap buttons

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ryo Horikoshi ◽  
Hiroyuki Higashino ◽  
Yoji Kobayashi ◽  
Hiroshi Kageyama
Keyword(s):  
High School Students ◽  
Coordination Compounds ◽  
Periodic Structures ◽  
Inorganic Compounds ◽  
Structure Model ◽  
School Students ◽  
Model Sets ◽  
Ping Pong ◽  
Hands On ◽  
Model Set

Abstract Structure model sets for inorganic compounds are generally expensive; their distribution to all students in a class is therefore usually impractical. We have therefore developed a structure model set to illustrate inorganic compounds. The set is constructed with inexpensive materials: ping-pong balls, and snap buttons. The structure model set can be used to illustrate isomerism in coordination compounds and periodic structures of ceramic perovskites. A hands-on activity using the structure model set was developed for high school students and was well-received by them. Despite the concepts being slightly advanced for them, the students’ retention of the knowledge gained through the activity was tested a week after they completed the activity and was found to be relatively high, demonstrating the usefulness of the activity based on the structure model set.

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
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