集體防御機制下的網(wǎng)絡行動同步建模和穩(wěn)定性

王剛; 胡鑫; 馬潤年; 劉文斌

doi:10.11999/JEIT170619

集體防御機制下的網(wǎng)絡行動同步建模和穩(wěn)定性

doi: 10.11999/JEIT170619

2.
(空軍工程大學信息與導航學院西安 710077)
3.
(溫州大學計算機科學與工程學院溫州 325035)

基金項目:

國家自然科學基金(61573017, 61572367, 61401499)

計量
- 文章訪問數(shù): 1162
- HTML全文瀏覽量: 140
- PDF下載量: 107
- 被引次數(shù): 0
出版歷程
- 收稿日期: 2017-06-28
- 修回日期: 2018-01-08
- 刊出日期: 2018-06-19

Synchronization Modeling and Stability of Cyberspace Operation Based on Collective Defensive Mechanism

1.
(Information and Navigation Institute, Air Force Engineering University, Xi'n 710077, China)
2.
(Information and Navigation Institute, Air Force Engineering University, Xi'n 710077, China)
3.
(College of Computer Science and Engineering, Wenzhou University, Wenzhou 325035, China)

Funds:

The National Natural Science Foundation of China (61573017, 61572367, 61401499)

摘要

摘要: 該文從網(wǎng)絡安全集體防御機制及其同步分析入手，引入不確定性因子，建立了網(wǎng)絡行動同步的改進模型。在此基礎上，運用Lyapunov函數(shù)分析了網(wǎng)絡行動同步的穩(wěn)定性，提出同步判據(jù)，重點分析了系統(tǒng)的邊連接概率、網(wǎng)絡規(guī)模、備用節(jié)點數(shù)和網(wǎng)絡不確定性概率等對同步能力及穩(wěn)定性的影響，最后給出了仿真驗證。理論分析和仿真實驗表明，系統(tǒng)的邊連接概率、網(wǎng)絡規(guī)模、備用節(jié)點數(shù)概率與第2大特征值、最小特征值與第2大特征值之比均呈負相關關系，與網(wǎng)絡安全集體防御行動的全局同步穩(wěn)定和局部同步穩(wěn)定呈負相關關系。
- 網(wǎng)絡行動 /
- 集體防御 /
- 機制 /
- 同步 /
- 穩(wěn)定性
Abstract: Based on cyberspace security collective defensive mechanism and its synchronization, uncertainty factors are introduced in the synchronization of cyberspace operation, and the improved synchronization model is established. The stability of cyberspace operation synchronization is analyzed by utilizing Lyapunov function, and synchronization criterions are put forward. What is more, factors that influenced synchronization ability and stability are explored, such as edge connection probability, cyberspace scale, standby elements, and uncertainty probability. Finally, simulations are given. Theoretical research and simulations show that the factors of cyberspace operation synchronization are negatively related with the second eigenvalue and the ratio of minimum eigenvalue to the second eigenvalue, and corresponding negatively related with the cyberspace ecosystems global synchronization stability and local synchronization stability.
- Cyberspace operation /
- Collective defensive /
- Mechanism /
- Synchronization; Stability /

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參考文獻(17)

Argonne National Laboratory. Enabling distributed security in cyberspace: Building a healthy and resilient cyber ecosystem with automated collective action[R]. Report of Department of Defense, America, 2011.

WU Guangyu, SUN Jian, and CHEN Jie. A survery on the security of cyber-physical systems[J]. Control Theory and Technology, 2016, 14(1): 2-10.

WANG Yinan, LIN Zhiyun, LIANG Xiao, et al. On modeling of electrical cyber-physical systems considering cyber security [J]. Journal of Zhejiang University Science C,　2016, 17(5): 465-478. doi: 10.1631/FITEE.1500446.

MICHAL C, RAFAL K, MARIA P, et al. Comprehensive approach to increase cyber security and resilience[C]. Proceedings of IEEE the 10th International Conference on Availability, Reliability and Security, Toulouse, 2016: 686-692.

LIU Lixia, LING Ren, BEI Xiaomeng, et al. Coexistence of synchronization and anti-synchronization of a novel hyperchaotic finance system[C]. Proceedings of IEEE Proceeding of the 34th Chinese Control conference, Hangzhou, 2015: 8585-8589.

高洋, 李麗香, 彭明海, 等. 多重融合復雜動態(tài)網(wǎng)絡的自適應同步[J]. 物理學報, 2008, 57(4): 2081-2091.

GAO Yang, LI Lixiang, PENG Minghai, et al. Adaptive synchronization in untied complex dynamical network with multi-links[J]. Acta Physica Sinica, 2008, 57(4): 2081-2091.

LUIS M, SARA F, and CLARA G. Complete synchronization and delayed synchronization in couplings[J]. Nonlinear Dynamics, 2015, 79(2): 1615-1624. doi: 10.1007/s11071-014- 1764-8.

ARIE R, MIRI P, and SHAHAF W. Distributed network synchronization[C]. Proceedings of IEEE International Conference on Microwaves, Communications, Antennas and Electronic Systems Tel-Aviv, 2015: 15-19.

趙明, 周濤, 陳關榮, 等. 復雜網(wǎng)絡上動力系統(tǒng)同步的研究進展如何提高網(wǎng)絡的同步能力[J]. 物理學進展, 2008, 1(3): 22-34.

ZHAO Ming, ZHOU Tao, CHEN Guanrong, et al. A review on synchronization of dynamical systems on complex networks: how to enhance the network synchronizability[J]. Progress in Physics, 2008, 1(3): 22-34.

張檬, 呂翎, 呂娜, 等. 結構與參量不確定的網(wǎng)絡與網(wǎng)絡之間的混沌同步[J]. 物理學報, 2012, 61(22): 1-5.

ZHANG Meng, L Ling, L Na, et al. Chaos synchronization between complex networks with uncertain structures and unknown parameters[J]. Acta Physica Sinica, 2012, 61(22): 1-5.

GUO Peilin and WANG Yuzhen. Matrix expression and vaccination control for epidemic dynamics over dynamic networks[J]. Control Theory and Technology, 2016, 14(1): 1-5.

孫璽菁, 司守奎. 復雜網(wǎng)絡算法與應用[M]. 北京: 國防工業(yè)出版社, 2016: 132-187.

SIVAGANESH G. Master stability function for a class of coupled simple nonlinear electronic circuits[J]. Journal of the Korean Physical Society, 2016, 68(5): 628-632. doi: 10.3938 /jkps.68.628.

SHU Liang, ZENG Xianlin, and HONG Yiguang. Lyapunov stability and generalized invariance principle for no convex differential inclusions[J]. Control Theory and Technology,　2016, 14(2): 140-150. doi: 10.1007/s11768-016-6037-2.

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