Stabilization of bilinear sparse matrix control systems using periodic inputs
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- 作者：Bahman Gharesifard bahman@mast.queensu.caAuthor Vitae
- 关键词：Network control systems ; Decentralized control ; Sparse matrix systems
- 刊名：Automatica
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：77
- 期：Complete
- 页码：239-245
- 全文大小：934 K
- 卷排序：77
文摘
In this brief paper, using results from the theory of averaging of bilinear systems, we provide a graph theoretic characterization for the existence of periodic control inputs that stabilize a sparse matrix system to the origin. In particular, we introduce a class of extensions to the directed graph corresponding to a given sparse matrix system, which when contains a stable sparse matrix system implies that the original system is stabilizable using periodic inputs. When this condition holds, we provide a systematic procedure for designing such controllers. Our technical approach combines ideas from the theory of bilinear control systems and averaging theory with graph theoretic results.