New variants of fuzzy optimal control problems

Awais Younus; Iram Ghaffar; Thabet Abdeljawad; Meriem Louafi

doi:10.1002/asjc.3639

New variants of fuzzy optimal control problems

Awais Younus, Iram Ghaffar, Thabet Abdeljawad^*, Meriem Louafi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems. We derive a generalized integration by parts formula and establish necessary and sufficient optimality conditions. Furthermore, we highlight the connections between classical and fuzzy control frameworks. The proposed methodology is validated through numerical examples, demonstrating its effectiveness and accuracy.

Original language	English
Journal	Asian Journal of Control
DOIs	https://doi.org/10.1002/asjc.3639
Publication status	Published - 2025
Externally published	Yes

Keywords

Hukuhara differentiability
fuzzy conformable derivative
fuzzy-fractional derivative

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10.1002/asjc.3639

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title = "New variants of fuzzy optimal control problems",

abstract = "This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems. We derive a generalized integration by parts formula and establish necessary and sufficient optimality conditions. Furthermore, we highlight the connections between classical and fuzzy control frameworks. The proposed methodology is validated through numerical examples, demonstrating its effectiveness and accuracy.",

keywords = "Hukuhara differentiability, fuzzy conformable derivative, fuzzy-fractional derivative",

author = "Awais Younus and Iram Ghaffar and Thabet Abdeljawad and Meriem Louafi",

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AU - Abdeljawad, Thabet

AU - Louafi, Meriem

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Y1 - 2025

N2 - This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems. We derive a generalized integration by parts formula and establish necessary and sufficient optimality conditions. Furthermore, we highlight the connections between classical and fuzzy control frameworks. The proposed methodology is validated through numerical examples, demonstrating its effectiveness and accuracy.

AB - This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems. We derive a generalized integration by parts formula and establish necessary and sufficient optimality conditions. Furthermore, we highlight the connections between classical and fuzzy control frameworks. The proposed methodology is validated through numerical examples, demonstrating its effectiveness and accuracy.

KW - Hukuhara differentiability

KW - fuzzy conformable derivative

KW - fuzzy-fractional derivative

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SN - 1561-8625

JO - Asian Journal of Control

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ER -

New variants of fuzzy optimal control problems

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Keywords

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