Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems
Publish Year: 1396
Type: Journal paper
Language: English
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Document National Code:
JR_COAM-2-2_001
Index date: 19 February 2023
Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems abstract
In this paper, Haar wavelets are performed for solving continuous time-variant linear-quadratic optimal control problems. Firstly, using necessary conditions for optimality, the problem is changed into a two-boundary value problem (TBVP). Next, Haar wavelets are applied for converting the TBVP, as a system of differential equations, in to a system of matrix algebraic equations, as Haar matrix equations using Kronecker product. Then the error analysis of the proposed method is presented. Some numerical examples are given to demonstrate the efficiency of the method. The solutions converge as the number of approximate terms increase.
Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems Keywords:
Time-variant linear-quadratic optimal control problems , Matrix algebraic equation , Haar wavelet
Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems authors
Saeed Nezhadhosein
Department of Applied Mathematics, Payame Noor University, Tehran, ۱۹۳۹۵۳۶۹۷, Iran
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