Pontryagin's principle for time-optimal problems
Pontryagin's principle for time-optimal problems
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DOI：
10.1023/a:1021793611520
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发表时间：
1999-05-01
影响因子：
1.9
通讯作者：
Zidani, H
中科院分区：
文献类型：
--
作者：
Raymond, JP;Zidani, H
我们考虑具有逐点状态约束和无界控制的半线性抛物方程的时间最优控制问题。在没有任何限定条件的情况下，以非限定形式得到了庞特里亚金原理。作为控制变量的终端时间满足一个最优性条件，这在偏微分方程控制问题的背景下似乎是新的。
We consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The terminal time, which is a control variable, satisfies an optimality condition, which seems to be new in the context of control problems for partial differential equations.