Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control-Reference-Cited by-同舟云学术

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

Published:2021 Issue:6 Volume:18 Page:9121-9131
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Dlala Mohsen, ,Alrashidi Sharifah Obaid

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference41 articles.

1. C. Prieur, E. Trélat, Robust optimal stabilization of the brockett integrator via a hybrid feedback, Math. Control Signals Syst., 17 (2005), 201–216.

2. E. D. Sontag, Stability and stabilization: discontinuities and the effect of disturbances, in Nonlinear Analysis, Differential Equations and Control, Springer, (1999), 551–598.

3. P. Tabuada, Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. Autom. Control, 52 (2007), 1680–1685.

4. M. Heemels, J. Donkers, A. R. Teel, Periodic event-triggered control for linear systems, IEEE Trans. Autom. Control, 54 (2013), 847–861.

5. A. Girard, Dynamic triggering mechanisms for event-triggered controls, IEEE Trans. Autom. Control, 60 (2015), 1992–1997.

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