N. Begashaw, Gurcan Comert, and N. G. Medhin
Optimal Control of Impulsive System
Dynamic Systems and Applications 35 (2026)  27-41

https://doi.org/10.46719/dsa2026.35.02

ABSTRACT.
Necessary conditions are derived for impulsive control problems with constraints. The impulsive constraints are motivated by applications from epidemic and production control models. We consider optimal control of SIR epidemic models when susceptible and infected people are treated by vaccination or quarantine and medicinal help. The vaccination and certain medical treatments may be done at particular instants of scheduled time and quarantine and other treatments may be done continuously.

AMS (MOS) Subject Classification. 34A37, 34H05, 34D20, 93C30

Key Words and Phrases. Optimal control, Impulsive system.