论文标题

游戏理论与控制理论之间的相互作用

Interplay Between Game Theory and Control Theory

论文作者

Mazumdar, Souma

论文摘要

寻求游戏理论与控制理论之间的相互关系。在这方面,这种关系的两个方面被提出了。讨论了建立基于关系控制的直接控制游戏并建立基于逆关系游戏的控制。为了建立基于直接关系控制的布尔网络,讨论了矩阵在差分计算中的半张量产品的新技术。对于反相关关系,h无穷稳定的最佳控制已被讨论,并在动态编程和pontryagin最小化原理的帮助下进行了讨论。

An interrelationship between Game Theory and Control Theory is seeked. In this respect two aspects of this relationship are brought up. To establish the direct relationship Control Based Games and to establish the inverse relationship Game Based Control are discussed. In the attempt to establish the direct relationship Control Based Boolean Networks are discussed with the novel technique of application of Semi Tensor Product of matrices in Differential Calculus. For the inverse relationship H Infinity robust optimal control has been discussed with the help of Dynamic Programming and Pontryagin Minimization Principle.

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