TY - JOUR
T1 - Optimal control of continuous systems with impulse controls
AU - Leander, Rachel
AU - Lenhart, Suzanne
AU - Protopopescu, Vladimir
N1 - Publisher Copyright:
© Published 2014 This article has been contributed to by US Government employees and their work is in the public domain in the USA.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - SummaryImpulse control problems, in which a continuously evolving state is modified by discrete control actions, have applications in epidemiology, medicine, and ecology. In this paper, we present a simple method for solving impulse control problems for systems of differential equations. In particular, we show how impulse control problems can be reformulated and solved as discrete optimal control problems. The method is illustrated with two examples. Published 2014. This article has been contributed to by US Government employees and their work is in the public domain in the USA.
AB - SummaryImpulse control problems, in which a continuously evolving state is modified by discrete control actions, have applications in epidemiology, medicine, and ecology. In this paper, we present a simple method for solving impulse control problems for systems of differential equations. In particular, we show how impulse control problems can be reformulated and solved as discrete optimal control problems. The method is illustrated with two examples. Published 2014. This article has been contributed to by US Government employees and their work is in the public domain in the USA.
KW - continuous systems
KW - discrete time optimal control
KW - impulse control
UR - http://www.scopus.com/inward/record.url?scp=84937114481&partnerID=8YFLogxK
U2 - 10.1002/oca.2128
DO - 10.1002/oca.2128
M3 - Article
AN - SCOPUS:84937114481
SN - 0143-2087
VL - 36
SP - 535
EP - 549
JO - Optimal Control Applications and Methods
JF - Optimal Control Applications and Methods
IS - 4
ER -