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Robust Hyperexponential Stabilization via Nested Exponential Conformable Derivatives

delete2025-10-15
delete0
PRE
AI
F
Fidel Meléndez‐Vázquez
G
Guillermo Fernández‐Anaya
J
Juan Diego Sánchez‐Torres
A
Aldo Jonathan Muñoz‐Vázquez *
DOI：10.3390/appliedmath5040141delete
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摘要

摘要

En 中文
本文提出了一类新型的适性积-微分算子，用于模拟具有快速和超快速动态的系统。这类局部算子能够设计出能够诱导超指数收敛并提供对有界扰动和动态不确定性的鲁棒性的控制器和观测器。所提出的方法利用嵌套指数函数（NEFs）和嵌套指数阶乘函数（NEFFs）来有效捕捉快速动态。此外，本研究考察了在嵌套指数适性（NEC）算子背景下的微积分基本定理，揭示了产生具有增强超指数收敛和更快速动态的结构性质（如稳定性和鲁棒性），相比现有方法更为突出。建立了NEC系统的稳定性结果，并通过基于数值模拟的示例说明了所提出方法的可靠性。
Keyword:
conformable operators
hyperexponential stability
nested exponential conformable derivative

期刊

A
AppliedMath
IF:
0.7
论文数:
135
被引数:
0

机构

U
universidad autonoma del estado de hidalgo
学者数:
1.8K
论文数: 1.1K
被引数: 3
T
Texas A&M University System
学者数:
4.4W
论文数: 4.0W
被引数: 4.0K
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