Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control | Zendy

Mohsen Dlala | Zendy; Sharifah Obaid Alrashidi | Zendy

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Rapid 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) - exponential function , control theory (sociology) , mathematics , control (management) , population , event (particle physics) , computer science , mathematical analysis , 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.

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