Journal of Mathematical Sciences

, 177:426 | Cite as

Optimal control of sterilization of prepackaged food in the case of problem with free final time and phase constraints

  • Bing Sun


This paper is concerned with the optimal control of the sterilization of prepackaged food. The investigated system is constructed as an optimal control problem with free final horizon and phase constraints. Pontryagin’s maximum principle, the necessary optimality condition for the system, is studied by the Dubovitskii and Milyutin functional analytical approach. The derived necessary condition is presented for the problem with both the control constraints and the state constraints.


Optimal Control Problem State Constraint Pontryagin Maximum Principle Control Constraint Feasible Direction 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Department of MathematicsBeijing Institute of TechnologyBeijingP.R. China

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