Controllability of networked higher-dimensional systems with one-dimensional communication
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Article number | 20160215 |
Journal / Publication | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 375 |
Issue number | 2088 |
Publication status | Published - 6 Mar 2017 |
Link(s)
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.
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 Reviews › RGC 21 - Publication in refereed journal › peer-review