Some Necessary and Sufficient Conditions on the Controllability of Star Networks

Yuqing Hao; Qingyun Wang; Zhisheng Duan

doi:10.1109/TCSII.2019.2953667

Some Necessary and Sufficient Conditions on the Controllability of Star Networks

Yuqing Hao^*
, Qingyun Wang
, Zhisheng Duan

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Peking University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This brief focuses on the controllability of star-shaped networks, where the nodes are identical multi-input/multi-output (MIMO) linear time-invariant (LTI) systems. Some necessary and sufficient conditions on the controllability of undirected and directed star networks are established, respectively. These conditions are more easily-verified, which show the effect of the node-system dynamics, inner interactions and external control inputs on the network controllability explicitly. Moreover, some necessary conditions are further derived, which are more straightforward and intuitive. The effectiveness of the new conditions is illustrated by some examples.

Original language	English
Article number	8901189
Pages (from-to)	2582-2586
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	67
Issue number	11
DOIs	https://doi.org/10.1109/TCSII.2019.2953667
State	Published - Nov 2020

Keywords

MIMO LTI system
Network controllability
network observability
star network

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abstract = "This brief focuses on the controllability of star-shaped networks, where the nodes are identical multi-input/multi-output (MIMO) linear time-invariant (LTI) systems. Some necessary and sufficient conditions on the controllability of undirected and directed star networks are established, respectively. These conditions are more easily-verified, which show the effect of the node-system dynamics, inner interactions and external control inputs on the network controllability explicitly. Moreover, some necessary conditions are further derived, which are more straightforward and intuitive. The effectiveness of the new conditions is illustrated by some examples.",

keywords = "MIMO LTI system, Network controllability, network observability, star network",

author = "Yuqing Hao and Qingyun Wang and Zhisheng Duan",

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AU - Duan, Zhisheng

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N2 - This brief focuses on the controllability of star-shaped networks, where the nodes are identical multi-input/multi-output (MIMO) linear time-invariant (LTI) systems. Some necessary and sufficient conditions on the controllability of undirected and directed star networks are established, respectively. These conditions are more easily-verified, which show the effect of the node-system dynamics, inner interactions and external control inputs on the network controllability explicitly. Moreover, some necessary conditions are further derived, which are more straightforward and intuitive. The effectiveness of the new conditions is illustrated by some examples.

AB - This brief focuses on the controllability of star-shaped networks, where the nodes are identical multi-input/multi-output (MIMO) linear time-invariant (LTI) systems. Some necessary and sufficient conditions on the controllability of undirected and directed star networks are established, respectively. These conditions are more easily-verified, which show the effect of the node-system dynamics, inner interactions and external control inputs on the network controllability explicitly. Moreover, some necessary conditions are further derived, which are more straightforward and intuitive. The effectiveness of the new conditions is illustrated by some examples.

KW - MIMO LTI system

KW - Network controllability

KW - network observability

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JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 11

M1 - 8901189

ER -

Some Necessary and Sufficient Conditions on the Controllability of Star Networks

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Keywords

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