Accessibility of bilinear networks of systems: control by interconnections

被引：1

作者：

Dirr, G. ^{[1
]}

Helmke, U. ^{[1
]}

Rueppel, F. ^{[2
]}

机构：

[1] Univ Wurzburg, Inst Math, Emil Fischer St 40, D-97074 Wurzburg, Germany

[2] Prognost GmbH, Berliner Pl 6, D-97080 Wurzburg, Germany

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2016年 / 28卷 / 02期

关键词：

Bilinear systems; Controllability; Accessibility; Networks of linear systems;

D O I：

10.1007/s00498-016-0165-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyze controllability properties for a class of bilinear interconnected systems, consisting of networks of linear systems, where the coupling parameters act as control variables. We characterize the system Lie algebra of the resulting bilinear control systems. Necessary and sufficient conditions for accessibility are derived in terms of the underlying interconnection graph. Our results generalize earlier work by Brockett on controllability of bilinear output feedback systems, as well as recent work of Costello and Egerstedt on the control of information-exchange networks for distributed computing.

引用

页数：25

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