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...
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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 |
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