无因果/脉冲NDS的描述子形式子系统的可构造性
Constructibility of a Causal/Impulse Free NDS Using Descriptor Form Subsystems
摘要：
研究了无因果/脉冲网络化动态系统对各描述子系统的要求。为此，矩阵秩为基础的必要和充分条件首先推导出的因果关系/脉冲自由度的NDS，其中相关的矩阵依赖于子系统的连接。从这个结果中，一个必要和充分的条件是来自每个子系统，使得存在一个子系统连接矩阵，导致因果/脉冲自由NDS。该条件进一步导致局部静态输出反馈存在的必要和充分条件，该局部静态输出反馈保证了无因果/脉冲NDS的构造。这些条件的一个突出的特性是，所有涉及的数值计算独立地进行每个单独的子系统，这是相当有吸引力的，在减少计算成本和提高数值稳定性的大规模NDS的分析和综合。情况也已经澄清，其中NDS因果关系/冲动自由是独立的子系统连接。它也已经清楚，在某些情况下，本地静态输出反馈是没有帮助的，在构建一个因果NDS。
英文摘要：
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.
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