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论文类型：期刊论文

发表时间：2008-07-01

发表刊物：APPLIED MATHEMATICAL MODELLING

收录刊物：EI、SCIE

卷号：32

期号：7

页面范围：1198-1207

ISSN号：0307-904X

关键字：coupled thermodynamic system; sea ice; parameter identification

摘要：In this paper, we deal with a coupled thermodynamic system of sea ice and its parameter identification problem. Based on the characteristics of the sea ice temperature distribution, we construct a thermodynamic system of sea ice coupled by the snow, the sea ice and the ocean mixed layer. Then taking the thermodynamic parameters (density, specific heat and thermal conductivity) of snow, ice and ocean mixed layer as the control variable and the minimal error of the temperature obtained from the system and the observed temperature data of sea ice as the performance criterion, an optimal control model with state constraints is given. We also prove the dependency relationship between state and control variables, and discuss the existence of the optimal control. Finally necessary conditions for optimality are derived. (C) 2007 Elsevier Inc. All rights reserved.