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

Xing-Yu Li, Kai-Ning Wu and Xiao-Zhen Liu

Applied Mathematics and Computation, 2023, vol. 449, issue C

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: Short memory fractional reaction-diffusion systems; Intermittent boundary controller; Mittag–Leffler stabilization; Robust Mittag–Leffler stabilization (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001285

DOI: 10.1016/j.amc.2023.127959

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