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

Mohsen Dlala; Sharifah Obaid Alrashidi

doi:10.3934/mbe.2021449

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

Math Biosci Eng. 2021 Oct 25;18(6):9121-9131. doi: 10.3934/mbe.2021449.

Authors

Mohsen Dlala¹, Sharifah Obaid Alrashidi¹

Affiliation

¹ Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia.

PMID: 34814338
DOI: 10.3934/mbe.2021449

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.

Keywords: Lotka-McKendrick's equation; event-triggered control; exponential stabilization; impulsive control.

MeSH terms

Research Design*