Stability Analysis of Equilibrium Position of von Neumann's Model under Interval Uncertainty

机译：区间不确定性下冯诺曼模型均衡位置的稳定性分析

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There is discussed the problem of stability analysis of equilibrium position under interval settings. In case of multiplicative uncertainty both primal and dual Frobenius vectors are obtained by exact von Neumann's model with matrices of interval centers. Interval of the Frobenius number in case of interval von Neumann's model are obtained by finding equilibrium for two exact von Neumann's models with exact matrices of interval upper and lower bounds. There are introduced definitions of weak and strong solutions, which are used to obtain robust estimates of equilibrium position of interval von Neumann's model.

机译：讨论了间隔设置下均衡位置稳定性分析问题。在乘法不确定的情况下，通过间隔中心的矩阵精确von neumann的模型获得了原始和双毛毡矢量。在von Neumann的模型中，通过查找两个精确的von neumann的模型的平衡来获得弗罗贝尼斯号码的间隔，具有间隔高度和下限的精确矩阵。介绍了弱和强的解决方案的定义，用于获得间隔von Neumann模型的均衡位置的稳健估计。

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来源
《IFAC Symposium on Information Control Problems in Manufacturing》|2012年||共5页
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作者
Anatoliy V. Panyukov; Alina T. Latipova;
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中图分类 TP273-53;
关键词
Product strategy; Linear programming; Von Neumann's model; Interval analysis; Game theory; Bilinear systems; Computer software;

机译：产品策略;线性规划;von Neumann的型号;间隔分析;游戏理论;BILINEAR SYSTEMS;计算机软件;

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4. Stability Analysis of Equilibrium Position of von Neumann's Model under Interval Uncertainty [C] . Anatoliy V. Panyukov, Alina T. Latipova IFAC Symposium on Information Control Problems in Manufacturing . 2012

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Stability Analysis of Equilibrium Position of von Neumann's Model under Interval Uncertainty

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