Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control

Tong, Liyun; Liu, Yang; Li, Yuanyuan; Lu, Jianquan; Wang, Zhen; Alsaadi, Fuad E.

doi:10.1109/access.2018.2828128

Cited by 45 publications

(15 citation statements)

References 52 publications

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“…In addition, it can be calculated that L= δ 64 [2,6,2,6, 1, 5, 5, 5, 14, 14, 14, 14, 13, 13, 13, 13,18, 22, 20, 24, 17, 21, 21, 23, 30, 30, 32, 32, 29, 29, 29, 31, 33, 37, 33, 37, 33, 37, 37, 37, 45, 45, 45, 45, 45, 45, 45, 45, 49, 10,14,9,13,13,13,14,14,14,14,13,13,13,13,26,30,28,32,25,29,29,31,30,30,32,32,29,29,29,31,33,37,33,37,33,37,37,37,37,37,37,37,37,37,37,37,49,53,51,…”

Section: Numerical Simulationsmentioning

confidence: 99%

Synchronization of Coupled Boolean Networks With Different Update Scheme

2020

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In this paper, the synchronization of coupled Boolean networks with asynchronous update scheme is investigated. First, the asynchronous Boolean dynamics is transformed into a linear expression with the semi-tensor product technique. Then, the synchronization cycle is proposed to establish the synchronization conditions of asynchronous Boolean networks. Furthermore, an algorithm is given, which can be used to quickly check whether there exists the synchronization cycle in the coefficient matrix of the Boolean function. Finally, an example is provided to verify the efficiency of the theoretical analysis. INDEX TERMS Asynchronous update scheme, Boolean network, synchronization, semi-tensor product.

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Section: Numerical Simulationsmentioning

confidence: 99%

Synchronization of Coupled Boolean Networks With Different Update Scheme

2020

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“…In addition, the STP method is also applied to PLNs. Correspondingly, the stability [54]- [60], stabilization [61]- [65], controllability [66]- [68], and other issues of PLNs [69]- [73] are investigated. There also exist some results in complex networked evolutionary games theory [74]- [79], multi-agent systems [80], and other fields [81]- [86], which show the extensive applications of STP.…”

Section: Introductionmentioning

confidence: 99%

Further Results on Large-Scale Complex Logical Networks

et al. 2020

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In the past few decades, how to reduce the computational complexity of dealing with kvalued logical networks (LNs) has become a heated research topic. This paper firstly presents a brief survey on the recent efforts of dealing with large-scale LNs, including approximation of LNs, network aggregation approach, and logical matrix factorization technique. Then, by using the network aggregation approach, the stability of large-scale network pairing problem is studied. The network aggregation approach is also used to study probabilistic logical networks (PLNs). Finally, an illustrative example is given to demonstrate the effectiveness of the obtained results.

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“…Recently, Cheng et al [9] have presented a generalized matrix product called semi-tensor product (STP). Owing to this technique, a considerable amount of studies have been inspired and several classical control problems have been extensively investigated in BCNs, including but not limited to stabilization and set stabilization [10][11][12][13][14][15][16][17][18][19][20], reachability and controllability [21][22][23], observability [24], synchronization [25,26], function perturbation [27], as well as several other problems [28][29][30][31][32]. The main idea of the STP approach is to convert the logical dynamic of a BN (BCN) into a normal discrete-time linear (bilinear) system.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of logical control networks: an event-triggered control approach

Zhu

Liu

Lou

et al. 2019

Sci. China Inf. Sci.

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This paper investigates the global stabilization problem of k-valued logical control networks (KVLCNs) via event-triggered control (ETC), where the control inputs only work at several certain individual states. Compared with traditional state feedback control, the designed ETC approach not only shortens the transient period of logical networks but also decreases the number of controller executions. The content of this paper is divided into two parts. In the first part, a necessary and sufficient criterion is derived for the event-triggered stabilization of KVLCNs, and a construction procedure is developed to design all timeoptimal event-triggered stabilizers. In the second part, the switching-cost-optimal event-triggered stabilizer is designed to minimize the number of controller executions. A labeled digraph is obtained based on the dynamic of the overall system. Utilizing this digraph, we formulate a universal and unified procedure called the minimal spanning in-tree algorithm to minimize the triggering event set. Furthermore, we illustrate the effectiveness of obtained results through several numerical examples.

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Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control

Cited by 45 publications

References 52 publications

Synchronization of Coupled Boolean Networks With Different Update Scheme

Synchronization of Coupled Boolean Networks With Different Update Scheme

Further Results on Large-Scale Complex Logical Networks

Stabilization of logical control networks: an event-triggered control approach

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