Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control

Xing Yu Li; Kai Ning Wu; Xiao Zhen Liu

doi:10.1016/j.amc.2023.127959

Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control

Xing Yu Li
, Kai Ning Wu^*
, Xiao Zhen Liu

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Shandong University

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

19 Scopus citations

Abstract

Under the designed intermittent boundary controller, the Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems (SMFRDSs) is investigated. By employing the Lyapunov functional method and kinds of inequalities, we derive a sufficient criterion that ensures the Mittag–Leffler stability for SMFRDSs. Robust Mittag–Leffler stability is also considered when there are uncertainties in SMFRDSs. Besides, we analyze how the control gains and diffusion coefficient matrix affect the stability. Finally, we carry out the numerical simulation based on the above results.

Original language	English
Article number	127959
Journal	Applied Mathematics and Computation
Volume	449
DOIs	https://doi.org/10.1016/j.amc.2023.127959
State	Published - 15 Jul 2023
Externally published	Yes

Keywords

Intermittent boundary controller
Mittag–Leffler stabilization
Robust Mittag–Leffler stabilization
Short memory fractional reaction-diffusion systems

Access to Document

10.1016/j.amc.2023.127959

Cite this

@article{8bed6109ec3249c48c28be59fdb2a457,

title = "Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control",

abstract = "Under the designed intermittent boundary controller, the Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems (SMFRDSs) is investigated. By employing the Lyapunov functional method and kinds of inequalities, we derive a sufficient criterion that ensures the Mittag–Leffler stability for SMFRDSs. Robust Mittag–Leffler stability is also considered when there are uncertainties in SMFRDSs. Besides, we analyze how the control gains and diffusion coefficient matrix affect the stability. Finally, we carry out the numerical simulation based on the above results.",

keywords = "Intermittent boundary controller, Mittag–Leffler stabilization, Robust Mittag–Leffler stabilization, Short memory fractional reaction-diffusion systems",

author = "Li, \{Xing Yu\} and Wu, \{Kai Ning\} and Liu, \{Xiao Zhen\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = jul,

day = "15",

doi = "10.1016/j.amc.2023.127959",

language = "英语",

volume = "449",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control

AU - Li, Xing Yu

AU - Wu, Kai Ning

AU - Liu, Xiao Zhen

PY - 2023/7/15

Y1 - 2023/7/15

N2 - Under the designed intermittent boundary controller, the Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems (SMFRDSs) is investigated. By employing the Lyapunov functional method and kinds of inequalities, we derive a sufficient criterion that ensures the Mittag–Leffler stability for SMFRDSs. Robust Mittag–Leffler stability is also considered when there are uncertainties in SMFRDSs. Besides, we analyze how the control gains and diffusion coefficient matrix affect the stability. Finally, we carry out the numerical simulation based on the above results.

AB - Under the designed intermittent boundary controller, the Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems (SMFRDSs) is investigated. By employing the Lyapunov functional method and kinds of inequalities, we derive a sufficient criterion that ensures the Mittag–Leffler stability for SMFRDSs. Robust Mittag–Leffler stability is also considered when there are uncertainties in SMFRDSs. Besides, we analyze how the control gains and diffusion coefficient matrix affect the stability. Finally, we carry out the numerical simulation based on the above results.

KW - Intermittent boundary controller

KW - Mittag–Leffler stabilization

KW - Robust Mittag–Leffler stabilization

KW - Short memory fractional reaction-diffusion systems

UR - https://www.scopus.com/pages/publications/85149945230

U2 - 10.1016/j.amc.2023.127959

DO - 10.1016/j.amc.2023.127959

M3 - 文章

AN - SCOPUS:85149945230

SN - 0096-3003

VL - 449

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 127959

ER -

Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this