Synchronisation analysis of Boolean networks based on equivalence

Chen, Hongwei; Liang, Jinling; Liu, Yang; Huang, Tingwen

doi:10.1049/iet-cta.2015.0311

Cited by 8 publications

(4 citation statements)

References 29 publications

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“…Its main idea is to rewrite the logical vector as its canonical form, by which BNs can be transformed into algebraic representation. Using this novel framework, many analysis and theoretical results on BNs have been studied, which include but are not limited to, stabilization [12][13][14][15][16][17][18], set stabilization [19,20], robustness analysis [21][22][23][24], observability [25][26][27], decoupling problem [28], state estimation [29], and so on.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time observability of probabilistic Boolean control networks

Pan

Zhong

Lin

et al. 2022

Asian Journal of Control

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In this paper, the finite-time observability (FO) of probabilistic Boolean control networks (PBCNs) based on set reachability and parallel extension is investigated. Under algebraic state space representation of PBCNs, finite-time set reachability (FSR), finite-time single input sequence set reachability (FSSSR), finite-time arbitrary input sequence set reachability (FASSR), as well as finite-time output feedback set reachability (FOSR) are addressed, where some efficient criteria are proposed. In the second part of this paper, several types of FO are provided, which can be converted to the corresponding FSR based on the parallel extension technique. Consequently, the obtained results for FSR are utilized to deal with FO. Finally, two examples including a biological network are given to demonstrate the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Finite‐time observability of probabilistic Boolean control networks

Pan

Zhong

Lin

et al. 2022

Asian Journal of Control

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“…Using STP method, an algebraic state space representation approach is established for logical dynamic systems [9][10][11]. In the last decade, many excellent results have been proposed for the analysis and control of logical dynamic systems based on the algebraic state space representation approach, which include stability [12][13][14][15][16][17][18][19][20][21][22][23], controllability , observability [45][46][47][48][49][50][51][52][53], stabilization [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69], synchronization [70][71][72][73][74][75][76][77]…”

Section: Introductionmentioning

confidence: 99%

A survey on applications of semi-tensor product method in engineering

Zhao

Meng

et al. 2017

Sci. China Inf. Sci.

106

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Semi-tensor product (STP) of matrices has attracted more and more attention from both control theory and engineering in the last two decades. This paper presents a comprehensive survey on the applications of STP method in engineering. Firstly, some preliminary results on STP method are recalled. Secondly, some applications of STP method in engineering, including gene regulation, power system, wireless communication, smart grid, information security, combustion engine and vehicle control, are reviewed. Finally, some potential applications of STP method are predicted.

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“…Based on STP, Cheng establishes a new theoretical framework for BCNs [12]. With this theoretical framework, many fundamental results on traditional linear control system theory have been generalized to BCNs, such as the controllability of probabilistic BCNs [13], optimal control [14–17], state observers design [18], synchronization [19, 20], system decomposition [21–23], the invertibility of BCNs [24] and so on.…”

Section: Introductionmentioning

confidence: 99%