| Autor: |
Allahdadi, Mehdi, Soradi-Zeid, Samaneh, Shokouhi, Tahereh |
| Předmět: |
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| Zdroj: |
Soft Computing - A Fusion of Foundations, Methodologies & Applications; May2024, Vol. 28 Issue 9/10, p6537-6554, 18p |
| Abstrakt: |
In this study, the goal is to obtain optimal solutions for fractional interval linear quadratic regulator problems. The major contribution made in this paper is to apply an indirect approach based on the interval calculus of variations with a joint application of constrained interval arithmetic to transcribe the fractional problem under study into a system of Volterra integral equations. To do so, we present the fractional interval Pontryagin's minimum principle for the extraction of necessary optimality conditions. The obtained conditions are first transformed into a system of Volterra integral equations and then using the Laplace transform method, we solve these equations and obtain the optimal solutions. One of the key points of this method is to keep the continuous form of the problems, which we can change to an equivalent form without discretizing it and proving the existence of its solution. Some numerical examples are carried out to confirm the standard criteria with theoretically accurate results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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