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Optimal control of continuous systems with impulse controls
Author(s) -
Leander Rachel,
Lenhart Suzanne,
Protopopescu Vladimir
Publication year - 2014
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2128
Subject(s) - impulse control , impulse (physics) , optimal control , control theory (sociology) , computer science , mathematical optimization , mathematics , control (management) , artificial intelligence , medicine , physics , quantum mechanics , psychiatry
Summary Impulse 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.