Correlation for the Viscosity of Normal Hydrogen Obtained from Symbolic Regression

2013 ◽  
Vol 58 (4) ◽  
pp. 969-979 ◽  
Author(s):  
Chris D. Muzny ◽  
Marcia L. Huber ◽  
Andrei F. Kazakov
Keyword(s):  
Symbolic Regression ◽  
Normal Hydrogen

scholarly journals Application of Symbolic Regression for Constitutive Modeling of Plastic Deformation

2021 ◽  
pp. 100052
Author(s):  
Evgeniya Kabliman ◽  
Ana Helena Kolody ◽  
Johannes Kronsteiner ◽  
Michael Kommenda ◽  
Gabriel Kronberger
Keyword(s):  
Plastic Deformation ◽  
Constitutive Modeling ◽  
Symbolic Regression

scholarly journals Research of Trajectory Optimization Approaches in Synthesized Optimal Control

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 336
Author(s):  
Askhat Diveev ◽  
Elizaveta Shmalko
Keyword(s):  
Optimal Control ◽  
Equilibrium Point ◽  
Trajectory Optimization ◽  
Stable Equilibrium ◽  
Equilibrium Points ◽  
Control Object ◽  
Symbolic Regression ◽  
Optimal Location ◽  
Stable Equilibrium Point ◽  
Stabilization System

This article presents a study devoted to the emerging method of synthesized optimal control. This is a new type of control based on changing the position of a stable equilibrium point. The object stabilization system forces the object to move towards the equilibrium point, and by changing its position over time, it is possible to bring the object to the desired terminal state with the optimal value of the quality criterion. The implementation of such control requires the construction of two control contours. The first contour ensures the stability of the control object relative to some point in the state space. Methods of symbolic regression are applied for numerical synthesis of a stabilization system. The second contour provides optimal control of the stable equilibrium point position. The present paper provides a study of various approaches to find the optimal location of equilibrium points. A new problem statement with the search of function for optimal location of the equilibrium points in the second stage of the synthesized optimal control approach is formulated. Symbolic regression methods of solving the stated problem are discussed. In the presented numerical example, a piece-wise linear function is applied to approximate the location of equilibrium points.

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