Open AccessRapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
Author(s) -
Mohsen Dlala,
Sharifah Obaid Alrashidi
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021449
Subject(s) - control theory (sociology) , exponential function , mathematics , population , control (management) , event (particle physics) , mathematical analysis , computer science , physics , artificial intelligence , sociology , demography , quantum mechanics
This paper investigates the problem of rapid exponential stabilization for linear Lotka-McKendrick's equation. Based on a new event-triggered impulsive control (ETIC) method, an impulsive control is designed to solve the rapid exponential stabilization of the dynamic population Lotka-McKendrick's equation. The effectiveness of our control is verified through a numerical example.