Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls
Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls
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DOI：
10.1137/s0363012996302470
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发表时间：
1998-01-01
影响因子：
2.2
通讯作者：
Zidani, H
中科院分区：
文献类型：
--
作者：
Raymond, JP;Zidani, H
本文研究了一类半线性抛物型方程的最优控制问题，该问题具有逐点状态约束和无界控制。在一些强稳定性假设下，我们得到了必要的最优性条件的形式庞特里亚金的最小值原则的合格形式。一个Pontryagin的原则在非限定形式也证明了没有任何稳定性条件。
This paper deals with optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls. Under some strong stability assumption, we obtain necessary optimality conditions in the form of a Pontryagin's minimum principle in qualified form. A Pontryagin's principle in nonqualified form is also proved without any stability condition.