网络系统中子系统的最小输入/输出
Minimal Inputs/Outputs for Subsystems in a Networked System
摘要：
研究了网络化系统中各子系统的最小输入输出选择问题。分别给出了网络化系统能控性和能观性的新的充分条件和必要条件。这些条件仅分别取决于每个子系统的参数及其进出度。证明了为了能够构造一个可控/可观的网络化系统，每个子系统都是可控/可观的是必要和充分的。此外，稀疏和密集的子系统连接都有助于使整个系统可控/可观测。给出了保证整个系统能控能观所需的每个子系统的最小输入/输出数的显式公式。
英文摘要：
Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as some necessary conditions. These conditions only depend separately on parameters of each subsystem and its in/out-degrees. It is proven that in order to be able to construct a controllable/observable networked system, it is necessary and sufficient that each subsystem is controllable/observable. In addition, both sparse and dense subsystem connections are helpful in making the whole system controllable/observable. An explicit formula is given for the smallest number of inputs/outputs for each subsystem required to guarantee controllability/observability of the whole system.
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