Maximum principle for optimal control of sterilization of prepackaged food

Mi-Xia WuCollege of Applied Sciences, Beijing University of Technology, Beijing 100022, People's Republic of China Corresponding author. Present address: 23 Paca PL, Rockville, MD 20852-1123, USA. E-mail: sunbing{at}amss.ac.cn, sunamss{at}gmail.comReceived on November 13, 2006; Revision received December 8, 2006. Accepted on January 20, 2007 This paper is concerned with an optimal control problem of thesterilization of prepackaged food. The Dubovitskii–Milyutinapproach is adopted in investigation of the Pontryagin's maximumprinciple of the system. The necessary condition is presentedfor the problem with fixed final horizon and phase constraints.