论文标题
使用描述符形式子系统的因果/脉冲的构建性
Constructibility of a Causal/Impulse Free NDS Using Descriptor Form Subsystems
论文作者
论文摘要
在本文中研究了每个描述符形式子系统的要求，该系统可以通过该系统来构建因果/脉冲免费网络动态系统（NDS）。为此，首先是基于矩阵等级的必要条件和足够的条件，该条件是针对NDS的因果关系/脉冲界的，其中相关的矩阵在该因果关系/脉冲上依赖子系统连接。从这个结果，每个子系统都会得出必要且充分的条件，因此存在导致因果/脉冲不含ND的子系统连接矩阵。这种情况进一步导致存在局部静态输出反馈的必要条件，以确保构建因果/脉冲无效的ND。这些条件的一个突出特性是，所有相关的数值计算都是在每个单个子系统上独立执行的，这在降低计算成本并提高了数值稳定性方面非常有吸引力，以实现大规模NDS分析和合成。还阐明了NDS因果关系/Impulse Freeness独立于子系统连接的情况。还清楚地表明，在某些情况下，本地静态输出反馈无助于构建因果关系。
Requirements are investigated in this paper for each descriptor form subsystem, with which a causal/impulse free networked dynamic system (NDS) can be constructed. For this purpose, a matrix rank based necessary and sufficient condition is at first derived for the causality/impulse freeness of an NDS, in which the associated matrix depends affinely on subsystem connections. From this result, a necessary and sufficient condition is derived for each subsystem, such that there exists a subsystem connection matrix that leads to a causal/impulse free NDS. This condition further leads to a necessary and sufficient condition for the existence of a local static output feedback that guarantees the construction of a causal/impulse free NDS. A prominent property of these conditions are that all the involved numerical computations are performed independently on each individual subsystem, which is quite attractive in reducing computation costs and improving numerical stability for large scale NDS analysis and synthesis. Situations have also been clarified in which NDS causality/impulse freeness is independent of subsystem connections. It has also been made clear that under some situations, local static output feedbacks are not helpful in constructing a causal NDS.
