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

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

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 activit...

Full description

Bibliographic Details
Main Authors: Mohsen Dlala, Adarey Saud Almutairi
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
impulsive control
event-triggered control
rapid exponential stabilization
damped wave equation
brain activity
Online Access:https://www.mdpi.com/2227-7390/9/5/516
id doaj-d988c536c49b42409906f7004ec0eb01
record_format Article
spelling doaj-d988c536c49b42409906f7004ec0eb012021-03-03T00:02:53ZengMDPI AGMathematics2227-73902021-03-01951651610.3390/math9050516Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive ControlMohsen Dlala0Adarey Saud Almutairi1Department of Mathematics, College of Sciences, Qassim University, Buraidah 51452, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Qassim University, Al Bukairiyah 51941, Saudi ArabiaThis 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.https://www.mdpi.com/2227-7390/9/5/516impulsive controlevent-triggered controlrapid exponential stabilizationdamped wave equationbrain activity
collection DOAJ
language English
format Article
sources DOAJ
author Mohsen Dlala
Adarey Saud Almutairi
spellingShingle Mohsen Dlala
Adarey Saud Almutairi
Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
Mathematics
impulsive control
event-triggered control
rapid exponential stabilization
damped wave equation
brain activity
author_facet Mohsen Dlala
Adarey Saud Almutairi
author_sort Mohsen Dlala
title Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
title_short Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
title_full Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
title_fullStr Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
title_full_unstemmed Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control
title_sort rapid exponential stabilization of nonlinear wave equation derived from brain activity via event-triggered impulsive control
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-03-01
description 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.
topic impulsive control
event-triggered control
rapid exponential stabilization
damped wave equation
brain activity
url https://www.mdpi.com/2227-7390/9/5/516
work_keys_str_mv AT mohsendlala rapidexponentialstabilizationofnonlinearwaveequationderivedfrombrainactivityviaeventtriggeredimpulsivecontrol
AT adareysaudalmutairi rapidexponentialstabilizationofnonlinearwaveequationderivedfrombrainactivityviaeventtriggeredimpulsivecontrol
_version_ 1724233915158233088

Similar Items