Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control

Mohsen Dlala and Adarey Saud Almutairi
Additional contact information
Mohsen Dlala: Department of Mathematics, College of Sciences, Qassim University, Buraidah 51452, Saudi Arabia
Adarey Saud Almutairi: Department of Mathematics, College of Science and Arts, Qassim University, Al Bukairiyah 51941, Saudi Arabia

Mathematics, 2021, vol. 9, issue 5, 1-11

Abstract: This paper investigates the problem of rapid exponential stabilization for damped wave equations. Based on a new event-triggered impulsive control (ETIC) method, impulsive control was designed to solve the rapid exponential stabilization of a class of damped wave equations derived from brain activity. The effectiveness of our control was verified through a numerical example.

Keywords: impulsive control; event-triggered control; rapid exponential stabilization; damped wave equation; brain activity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/5/516/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/5/516/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:5:p:516-:d:508875

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().