On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances

Yuanyuan Li; Jie Zhong; Jianquan Lu; Zhen Wang; Fuad E. Alssadi

doi:10.1155/2018/1737685

On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances

Yuanyuan Li
, Jie Zhong
, Jianquan Lu
, Zhen Wang^*
, Fuad E. Alssadi

^*Corresponding author for this work

Department of Mathematics

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

41 Citations (Scopus)

58 Downloads (CityUHK Scholars)

Abstract

This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices. Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances. Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs. According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller. Finally, an illustrative example is presented to demonstrate the obtained theoretical results.

Original language	English
Article number	1737685
Journal	Mathematical Problems in Engineering
Volume	2018
Online published	6 Aug 2018
DOIs	https://doi.org/10.1155/2018/1737685
Publication status	Published - 2018

Research Keywords

NEURAL-NETWORKS
STABILITY
SYSTEMS
DELAY
CONTROLLABILITY
STABILIZATION
DESIGN
NOISE

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This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/

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title = "On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances",

abstract = "This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices. Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances. Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs. According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller. Finally, an illustrative example is presented to demonstrate the obtained theoretical results.",

keywords = "NEURAL-NETWORKS, STABILITY, SYSTEMS, DELAY, CONTROLLABILITY, STABILIZATION, DESIGN, NOISE",

author = "Yuanyuan Li and Jie Zhong and Jianquan Lu and Zhen Wang and Alssadi, \{Fuad E.\}",

year = "2018",

doi = "10.1155/2018/1737685",

language = "English",

volume = "2018",

journal = "Mathematical Problems in Engineering",

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AU - Li, Yuanyuan

AU - Zhong, Jie

AU - Lu, Jianquan

AU - Wang, Zhen

AU - Alssadi, Fuad E.

PY - 2018

Y1 - 2018

N2 - This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices. Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances. Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs. According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller. Finally, an illustrative example is presented to demonstrate the obtained theoretical results.

AB - This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices. Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances. Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs. According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller. Finally, an illustrative example is presented to demonstrate the obtained theoretical results.

KW - NEURAL-NETWORKS

KW - STABILITY

KW - SYSTEMS

KW - DELAY

KW - CONTROLLABILITY

KW - STABILIZATION

KW - DESIGN

KW - NOISE

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U2 - 10.1155/2018/1737685

DO - 10.1155/2018/1737685

M3 - RGC 21 - Publication in refereed journal

SN - 1024-123X

VL - 2018

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 1737685

ER -

On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances

Abstract

Research Keywords

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