Work

New variants of fuzzy optimal control problems

Year: 2025

Type: article

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.

Source: Asian Journal of Control

DOI: 10.1002/asjc.3639

Authors: Awais Younus, Iram Ghaffar, Thabet Abdeljawad, Meriem Louafi

Institutions: Bahauddin Zakariya University, Prince Sultan University, China Medical University, Sefako Makgatho Health Sciences University, Saveetha University, National Higher School of Mathematics

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,850

OpenAlex ID: W4408481982

FWCI: 0.836

Cites: 21

Cited by: 1

Related to: 10