On application of Gaussian functions for numerical solution of optimal control problems

DOI10.1134/S0005117919060031zbMath1432.49041OpenAlexW2950060082MaRDI QIDQ2290415

Yanyan Li

Publication date: 27 January 2020

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117919060031

zbMATH Keywords

control parametrization techniqueapproximation using Gaussian functionslumped optimal control problem

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

On flexibility of constraints system under approximation of optimal control problems ⋮ On uniform monotone approximation of continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ On resolution of an extremum norm problem for the terminal state of a linear system

Cites Work

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• JPEG-like method of control parametrization for numerical solution of the distributed optimization problems
• On applicability of control parametrization technique to solving distributed optimization problems
• Smooth finite-dimensional approximations of distributed optimization problems via control discretization
• Ten Lectures on Wavelets
• On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment
• On the application of Gaussian functions for discretization of optimal control problems

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