Optimal Blowup Time for Controlled Ordinary Differential Equations

Optimal Blowup Time for Controlled Ordinary Differential Equations
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DOI：
10.1051/cocv/2014051
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发表时间：
2013-11
期刊：
arXiv: Optimization and Control
影响因子：
--
通讯作者：
H. Lou;Weihan Wang
H. Lou;Weihan Wang
中科院分区：
其他
文献类型：
--
作者：
H. Lou;Weihan Wang

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受控系统的最短和最长爆炸时间均被考虑。建立了最优三元组的存在结果和极大值原理。由于受控系统的一定单调性，建立了某种最优三元组的“前部局部最优”。那么主要结果的证明就变得简单、清晰和丰富。
Both the shortest and the longest blowup time for a controlled system are considered. Existence result and maximum principle for optimal triple are established. Thanks to some monotonicity of the controlled system, some kinds of "the front part local optimality" for optimal triple is established. Then proofs of the main results become easy, clear and abundant.