论文标题
Poset-Chusal系统的实现理论：可控性，可观察性和二元性
Realization theory for poset-causal systems: Controllability, observability and duality
论文作者
论文摘要
Poset-Causal Systems构成了Shah和Parrilo [32]引入的一类分散系统，主要在最佳分散控制的背景下进行了研究。在本文中，我们开发了Poset-Causal系统实现理论的一部分。更具体地说，我们研究了几种可控性和可观察性的概念及其在二元性下的关系。这些新的概念在协调线性系统的背景下扩展了可控性和可观察性的概念[16]。对于协调线性系统，有一个清晰的层次结构，具有单个（主）协调器，对于Poset-Causal Systems，不需要单个协调器，分散的系统之间的通信结构允许由部分订单控制更复杂的结构。另一方面，我们表明，Poset-Causal系统类别是在二元性下关闭的，这不是协调线性系统的情况，并且存在各种可观察性和可控性概念之间的二元关系。
Poset-causal systems form a class of decentralized systems introduced by Shah and Parrilo [32] and studied mainly in the context of optimal decentralized control. In this paper we develop part of the realization theory for poset-causal systems. More specifically, we investigate several notions of controllability and observability, and their relation under duality. These new notions extend concepts of controllability and observability in the context of coordinated linear systems [16]. While for coordinated linear systems there is a clear hierarchical structure with a single (main) coordinator, for poset-causal systems there need not be a single coordinator and the communication structure between the decentralized systems allows for more intricate structures, governed by partial orders. On the other hand, we show that the class of poset-causal systems is closed under duality, which is not the case for coordinated linear systems, and that duality relations between the various notions of observability and controllability exist.
