论文标题
动态网络的稀疏表示：一种副分解方法
Sparse Representations of Dynamical Networks: A Coprime Factorization Approach
论文作者
论文摘要
我们研究了一类由线性和时间流域系统建模的动力网络，这些系统由状态空间实现描述。对于这些网络，我们研究了保留其组件子系统互连结构的各种因素化之间的关系。在这样做的过程中，我们提供了在不同类型的稀疏表示表示之间转移的方法，并展示了如何采用这些因素化来获得分布式实现，以稳定稳定和稳定的控制器。通过为离散和连续时间系统制定所有这些结果，我们开发了专门的分布式实现，到目前为止，仅适用于以离散时间系统建模的网络。
We study a class of dynamical networks modeled by linear and time-invariant systems which are described by state-space realizations. For these networks, we investigate the relations between various types of factorizations which preserve the structure of their component subsystems' interconnection. In doing so, we provide tractable means of shifting between different types of sparsity-preserving representations and we show how to employ these factorizations to obtain distributed implementations for stabilizing and possibly stable controllers. By formulating all these results for both discrete- and continuous-time systems, we develop specialized distributed implementations that, up to this point, were only available for networks modeled as discrete-time systems.
