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

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
• exponential stabilization
• impulsive control
• event-triggered control