Controllability of networked higher-dimensional systems with one-dimensional communication

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number20160215
Journal / PublicationPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume375
Issue number2088
Publication statusPublished - 6 Mar 2017

Abstract

In this paper, the state controllability of networked higher-dimensional linear time-invariant dynamical systems is considered, where communications are performed through one-dimensional connections. The influences on the controllability of such a networked system are investigated, which come from a combination of network topology, nodesystem dynamics, external control inputs and inner interactions. Particularly, necessary and sufficient conditions are presented for the controllability of the network with a general topology, as well as for some special settings such as cycles and chains, which show that the observability of the node system is necessary in general and the controllability of the node system is necessary for chains but not necessary for cycles. Moreover, two examples are constructed to illustrate that uncontrollable node systems can be assembled to a controllable networked system, while controllable node systems may lead to uncontrollable systems even for the cycle topology.

Research Area(s)

  • Controllability, Directed, Networked system, One-dimensional communication

Citation Format(s)

Controllability of networked higher-dimensional systems with one-dimensional communication. / Wang, Lin; Wang, Xiaofan; Chen, Guanrong.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 375, No. 2088, 20160215, 06.03.2017.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review