Paper Info
Title
An Artificial Neural Network for Solving Distributed Optimal Control of the Poisson’s Equation
Abstract
This paper presents a simple and efficient method based on artificial neural network to solve distributed optimal control of Poisson’s equation with Dirichlet boundary condition. The trial solutions are used to approximate the state and control variables. These trial solutions are considered by using a single layer neural network. By replacing the trial solutions in objective function and Poisson’s equation, then using the weighted residual method, distributed optimal control of Poisson’s equation is converted to a linear quadratic optimal control problem. The weights of the trial solutions are computed by solving the new problem. In order to solve the linear quadratic optimal control problem, the Pontryagin maximum principle is used. Finally we apply the proposed method on several examples that in computational experiments, the high efficiency of the presented method is illustrated.
Year
DOI
Venue
2019
10.1007/s11063-018-9806-8
Neural Processing Letters
Keywords
Field
DocType
Optimal control,Poisson’s equation,Artificial neural network,Weighted residual method,Pontryagins maximum principle
Applied mathematics,Optimal control,Poisson's equation,Pattern recognition,Pontryagin's minimum principle,Dirichlet boundary condition,Control variable,Artificial intelligence,Poisson distribution,Artificial neural network,Method of mean weighted residuals,Mathematics
Journal
Volume
Issue
ISSN
49
1
1573-773X
Citations 
PageRank 
References 
0
0.34
10
Authors
2
Name
Order
Citations
PageRank
Shojaeddin Ghasemi100.34
Effati Sohrab227630.31