Optimal control of semilinear parabolic systems with state constraint

Optimal control of semilinear parabolic systems with state constraint
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DOI:
10.1016/j.jmaa.2014.03.070
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发表时间:
2014-09
影响因子:
1.3
通讯作者:
Hanbing Liu;Juan Yang
Hanbing Liu;Juan Yang
中科院分区:
数学3区
文献类型:
--
作者:
Hanbing Liu;Juan Yang

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本文研究了一类半线性抛物型方程组在点态约束下的最优控制问题的最优解的存在性和最大值原理。最后给出了该方法在相变系统最优控制问题中的应用。
The aim of this work is to obtain the existence of optimal solution and maximum principle for optimal control problem with pointwise type state constraint governed by semilinear parabolic systems with certain polynomial-like nonlinearity. Application to optimal control problems of the phase transition system is given.