On detectability of Boolean control networks

Wang, Biao; Feng, Jun-e; Li, Haitao; Yu, Yongyuan

doi:10.1016/j.nahs.2020.100859

Cited by 50 publications

(14 citation statements)

References 47 publications

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“…The expansion of logic function in encryption system is necessary to do in the future. For example, we consider to use semi-tensor product of matrix which was introduced to handle logic function, see [38], [39] and the literature therein. We also want to add the image segmentation in the encryption.…”

Section: Discussionmentioning

confidence: 99%

Quadratic Function Chaotic System and its Application on Digital Image Encryption

et al. 2020

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To obtain chaotic systems with good properties to help chaos based image encryption, this paper first study the condition under which quadratic functions can be used as pseudo-random sequence generator. We give a necessary and sufficient condition for quadratic functions topologically conjugate with the most frequently used Logistic map and Tent map. Since topological conjugacy maintains chaotic characteristics, more quadratic functions can be used as pseudo-random sequence generators in the digital image encryption. Then, it analyzes a diffusion algorithm with a good effect but poor in resisting the chosen plaintext attack. It is also verified by simulation. The quadratic function chaotic system is applied in the improvement of the diffusion algorithm. Furthermore, the improved algorithm contains plaintext related and cyclic shift operations. Finally, the performance analysis shows that the improved scheme has good security and high efficiency.

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Section: Discussionmentioning

confidence: 99%

Quadratic Function Chaotic System and its Application on Digital Image Encryption

et al. 2020

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“…Remark 3: When the system is stable at some observable states, the set stability and stabilization problems become the detectability. [33], [34] proposed the data form to investigate the detectability and obtained several criteria via novel form. [33] preliminarily analyzed the relationship between detectability and stabilization.…”

Section: Stabilization Analysismentioning

confidence: 99%

“…[33], [34] proposed the data form to investigate the detectability and obtained several criteria via novel form. [33] preliminarily analyzed the relationship between detectability and stabilization. Interested readers can further investigate this problem, and also continue to study the detectability of k-valued logical networks, which are all challenging topics.…”

Section: Stabilization Analysismentioning

confidence: 99%

Stabilization of Periodic Switched k-Valued Logical Networks

2021

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The stabilization of periodic switched k-valued logical networks is investigated in this paper, and some new results are presented. The system considered consists of several k valued logical networks and these networks run in a periodic switching law. First, by using the Cheng product of matrices, a periodic switched k-valued logical (control) network is transformed into a discrete dynamic system which is written as an algebraic form. Second, the switching-state space and the switching-input-state space are defined. Then combining with the algebraic form, some necessary and sufficient conditions for the stability and the stabilization are obtained. An algorithm to find the input sequence that stabilizes the system is also provided. Finally, illustrative examples are given to support the proposed new results.

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“…As a creative mathematical tool for studying BNs and BCNs, the semi-tensor product (STP) of matrices was presented and applied to convert BNs and BCNs into linear (bilinear) discrete-time systems [7]. Thanks to the application of STP, many excellent works about BNs and BCNs are emerged, such as controllability and observability [8]- [10], stability and stabilization [11]- [13], optimal control problem [14]- [16] and other related problems [17]- [19].…”

Section: Introductionmentioning

confidence: 99%

Output Tracking of Boolean Control Networks With Impulsive Effects

Feng

2020

IEEE Access

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In this article, the output tracking of Boolean control networks with impulsive effects (BCNs-IE) is discussed. Based on structure matrices of BCNs-IE and controllability matrices with respect to state subsets, stable complex attractors are studied. By constructing an auxiliary BCN-IE and using stable complex attractors, a necessary and sufficient condition for the output tracking problem is proposed. In addition, an algorithm to design state feedback controllers for the output tracking problem is provided. Moreover, an example is given to show the validity of the obtained results. INDEX TERMS Boolean control network, impulsive effect, output tracking, stable complex attractor, state feedback controller.

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On detectability of Boolean control networks

Cited by 50 publications

References 47 publications

Quadratic Function Chaotic System and its Application on Digital Image Encryption

Quadratic Function Chaotic System and its Application on Digital Image Encryption

Stabilization of Periodic Switched k-Valued Logical Networks

Output Tracking of Boolean Control Networks With Impulsive Effects

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