The Bang-Bang, Purification and Convexity Principles in Infinite Dimensions
The Bang-Bang, Purification and Convexity Principles in Infinite Dimensions
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无限维中的 Bang-Bang、净化和凸性原理
DOI：
10.1007/s11228-014-0282-7
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发表时间：
2014
影响因子：
1.6
通讯作者：
Nobusumi Sagara
中科院分区：
文献类型：
--
作者：
M. A. Khan;Nobusumi Sagara
The authors apply their recent work on the Lyapunov theorem in locally convex Hausdorff spaces to the bang-bang principle for control systems in infinite dimensions. They show that the bang-bang principle holds for every integrably bounded, measurable, weakly compact convex-valued multifunction if and only if the underlying measure space is saturated. They also demonstrate the equivalence of the bang-bang principle to what is termed the purification and convexity principles. Applications to variational problems with integral constraints are indicated.
