Controllability of Multilayer Snapback Networks

Jie-Ning Wu; Xiang Li; Guanrong Chen

doi:10.1109/TCNS.2022.3185153

Controllability of Multilayer Snapback Networks

Jie-Ning Wu, Xiang Li^*, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

10 Citations (Scopus)

Abstract

This article studies the controllability of multi-input/multioutput linear time-invariant (LTI) systems in a snapback interlayer coupling framework. Several necessary and sufficient conditions for the controllability of the three-layer snapback networks are established. In addition, controllability conditions about the superposition of the three-layer networks are obtained. These conditions are related to smaller scale factor networks, showing the effects of the interlayer coupling frameworks, intralayer network topologies, node dynamics, inner interactions, and external control inputs on the controllability of the snapback networks. Moreover, controllability conditions of the three-layer snapback networks are extended to the M-layer setting. Finally, some examples are presented to illustrate the effectiveness of the controllability conditions. © 2022 IEEE.

Original language	English
Pages (from-to)	15-25
Journal	IEEE Transactions on Control of Network Systems
Volume	10
Issue number	1
Online published	22 Jun 2022
DOIs	https://doi.org/10.1109/TCNS.2022.3185153
Publication status	Published - Mar 2023

Research Keywords

Controllability
Couplings
Feedback loop
inter-layer coupling
intra-layer topology
Linear systems
LTI system
MIMO communication
MIMO system
Network systems
Topology
interlayer coupling
linear time-invariant (LTI) system
multiinput/multioutput (MIMO) system

Access Output

10.1109/TCNS.2022.3185153

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{b5e75806dc24474f8ca4367c1b1d5e15,

title = "Controllability of Multilayer Snapback Networks",

abstract = "This article studies the controllability of multi-input/multioutput linear time-invariant (LTI) systems in a snapback interlayer coupling framework. Several necessary and sufficient conditions for the controllability of the three-layer snapback networks are established. In addition, controllability conditions about the superposition of the three-layer networks are obtained. These conditions are related to smaller scale factor networks, showing the effects of the interlayer coupling frameworks, intralayer network topologies, node dynamics, inner interactions, and external control inputs on the controllability of the snapback networks. Moreover, controllability conditions of the three-layer snapback networks are extended to the M-layer setting. Finally, some examples are presented to illustrate the effectiveness of the controllability conditions. {\textcopyright} 2022 IEEE.",

keywords = "Controllability, Couplings, Feedback loop, inter-layer coupling, intra-layer topology, Linear systems, LTI system, MIMO communication, MIMO system, Network systems, Topology, interlayer coupling, linear time-invariant (LTI) system, multiinput/multioutput (MIMO) system",

author = "Jie-Ning Wu and Xiang Li and Guanrong Chen",

year = "2023",

month = mar,

doi = "10.1109/TCNS.2022.3185153",

language = "English",

volume = "10",

pages = "15--25",

journal = "IEEE Transactions on Control of Network Systems",

issn = "2325-5870",

publisher = "IEEE",

number = "1",

}

TY - JOUR

T1 - Controllability of Multilayer Snapback Networks

AU - Wu, Jie-Ning

AU - Li, Xiang

AU - Chen, Guanrong

PY - 2023/3

Y1 - 2023/3

N2 - This article studies the controllability of multi-input/multioutput linear time-invariant (LTI) systems in a snapback interlayer coupling framework. Several necessary and sufficient conditions for the controllability of the three-layer snapback networks are established. In addition, controllability conditions about the superposition of the three-layer networks are obtained. These conditions are related to smaller scale factor networks, showing the effects of the interlayer coupling frameworks, intralayer network topologies, node dynamics, inner interactions, and external control inputs on the controllability of the snapback networks. Moreover, controllability conditions of the three-layer snapback networks are extended to the M-layer setting. Finally, some examples are presented to illustrate the effectiveness of the controllability conditions. © 2022 IEEE.

AB - This article studies the controllability of multi-input/multioutput linear time-invariant (LTI) systems in a snapback interlayer coupling framework. Several necessary and sufficient conditions for the controllability of the three-layer snapback networks are established. In addition, controllability conditions about the superposition of the three-layer networks are obtained. These conditions are related to smaller scale factor networks, showing the effects of the interlayer coupling frameworks, intralayer network topologies, node dynamics, inner interactions, and external control inputs on the controllability of the snapback networks. Moreover, controllability conditions of the three-layer snapback networks are extended to the M-layer setting. Finally, some examples are presented to illustrate the effectiveness of the controllability conditions. © 2022 IEEE.

KW - Controllability

KW - Couplings

KW - Feedback loop

KW - inter-layer coupling

KW - intra-layer topology

KW - Linear systems

KW - LTI system

KW - MIMO communication

KW - MIMO system

KW - Network systems

KW - Topology

KW - interlayer coupling

KW - linear time-invariant (LTI) system

KW - multiinput/multioutput (MIMO) system

UR - http://www.scopus.com/inward/record.url?scp=85133677582&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85133677582&origin=recordpage

U2 - 10.1109/TCNS.2022.3185153

DO - 10.1109/TCNS.2022.3185153

M3 - RGC 21 - Publication in refereed journal

SN - 2325-5870

VL - 10

SP - 15

EP - 25

JO - IEEE Transactions on Control of Network Systems

JF - IEEE Transactions on Control of Network Systems

IS - 1

ER -

Controllability of Multilayer Snapback Networks

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

GRF: Analyzing the Robustness of Network Controllability against Malicious Attacks

Cite this

Controllability of Multilayer Snapback Networks

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Projects

GRF: Analyzing the Robustness of Network Controllability against Malicious Attacks

Cite this