Connections in control strategy

Proceedings of the Estonian Academy of Sciences

Maido Rahula¹  Petr Vašík¹ 

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关键词: control theory;    connection;   

DOI  :  10.3176/proc.2014.1.05

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.

【 授权许可】

Unknown