Work

Analyzing the Transient Process and the Realizability of Fractional Systems via Intermittent Control

Year: 2025

Type: article

Abstract: In this paper, we have studied the transient process and the realizability of fractional systems via intermittent control. For any system under intermittent control in nature, there must exist a transient process. But this phenomenon is usually neglected in many of achievements obtained from fractional derivative models. By means of convolution operation and unit step function, we have studied the transient process of a fractional system under intermittent control. The research result shows that there exists a transient process and it is relevant to the whole historic process and the memory characteristics of a fractional system. No signal can cause this process to suddenly disappear. This can do well with the real physical model under intermittent control. Some examples presented in this paper verify our theorem achievements.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9030184

Authors: Jianbing Hu, Chuteng Ying, Shuguang Li, Zhe Jin, Xiaochao Chao, Xia Wang

Institution: Zhejiang University of Science and Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: National Natural Science Foundation of China