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

Mohsen Dlala; Sharifah Obaid Alrashidi; Mohsen Dlala; Sharifah Obaid Alrashidi

doi:10.3934/mbe.2021449

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 6: 9121-9131. doi: 10.3934/mbe.2021449

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Research article

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

Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia

Academic Editor: Tonghua Zhang

Received: 13 July 2021 Accepted: 11 October 2021 Published: 25 October 2021

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.
- Lotka-McKendrick's equation,
- exponential stabilization,
- impulsive control,
- event-triggered control
Citation: Mohsen Dlala, Sharifah Obaid Alrashidi. Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control[J]. Mathematical Biosciences and Engineering, 2021, 18(6): 9121-9131. doi: 10.3934/mbe.2021449

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Abstract

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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