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IMA Journal of Mathematical Control and Information Advance Access published online on February 19, 2007
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnm001
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Maximum principle for optimal control of sterilization of prepackaged food

Bing Sun{dagger}

Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China

Mi-Xia Wu

College of Applied Sciences, Beijing University of Technology, Beijing 100022, People's Republic of China

{dagger} Corresponding author. Present address: 23 Paca PL, Rockville, MD 20852-1123, USA. E-mail: sunbing{at}amss.ac.cn, sunamss{at}gmail.com

Received on 13 November 2006; Revision received 8 December 2006. Accepted on 20 January 2007


  Abstract

This paper is concerned with an optimal control problem of the sterilization of prepackaged food. The Dubovitskii–Milyutin approach is adopted in investigation of the Pontryagin's maximum principle of the system. The necessary condition is presented for the problem with fixed final horizon and phase constraints.

Keywords: sterilization of prepackaged food; optimal control; maximum principle; necessary condition.


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