In this paper, conditions for optimal impulse control of an impulsive system with constraints on control are derived. These hold for a system whose states can be changed instantaneously at discrete times with impulses while a continuous control is being applied between those times. The conditions derived are applied to the problem of optimal HIV treatment. Simulation results are presented to show the treatment procedure. The results obtained show that the intervention method developed leads to good results.
V. Yadav and S. N. Balakrishnan, "Optimal Impulse Control of Systems with Control Constraints and Application to HIV Treatment," Proceedings of the 2006 American Control Conference, Institute of Electrical and Electronics Engineers (IEEE), Jan 2006.
The definitive version is available at https://doi.org/10.1109/ACC.2006.1657484
2006 American Control Conference
Mechanical and Aerospace Engineering
Keywords and Phrases
Continuous Control; Continuous Time Systems; Control Constraints; Discrete Time Systems; Diseases; Medical Control Systems; Optimal HIV Treatment; Optimal Control; Optimal Impulse Control; Patient Treatment
Article - Conference proceedings
© 2006 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Jan 2006