Abstract
In recent years, protecting large-scale complex networks, such as electric power grids and their monitoring systems, has become a critical part of cutting-edge research. Adversaries often attempt to intercept and hack these systems by interfering with intermediate nodes or preventing controllers and physical systems from receiving actuator signals and industrial sensor measurements. The present work concentrates primarily on the structural controllability of such systems, as this topic has recently received significant interest through the equivalent problem of the power dominating set within the field of electrical power and network control. Nonetheless, it is well established that these problems are NP-hard with low approximation. Developing strategies that can restore a network’s performance is critical given their importance for a wide range of networks, particularly power networks. Thus, this paper focuses on regaining the structural controllability for Erdős-Rényi random directed networks following attacks on edges. Furthermore, these strategies will be evaluated using Matlab simulations to examine their applicability in real-world contexts.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The full code is available in [16].
- 2.
The full code is available upon request from the author.
References
Lin, C.-T.: Structural controllability. IEEE Trans. Autom. Control 19(3), 201–208 (1974)
Liu, Y.-Y., Slotine, J.-J., Barabási, A.-L.: Controllability of complex networks. Nature 473(7346), 167–173 (2011)
Kalman, R.E.: Mathematical description of linear dynamical systems. J. Soc. Ind. Appl. Math. Series Control 1(3), 152–192 (1963)
Haynes, T.W., Hedetniemi, S.M., Hedetniemi, S.T., Henning, M.A.: Domination in graphs applied to electric power networks. SIAM J. Discrete Mathematics 15(4), 519–529 (2002)
Kneis, J., Mölle, D., Richter, S., Rossmanith, P.: Parameterized power domination complexity. Inf. Process. Lett. 98(4), 145–149 (2006)
Zhao, M., Shan, E., Kang, L.: Power domination in the generalized petersen graphs. Discussiones Mathematicae: Graph Theory 40(3), 695–712 (2020)
Hedetniemi, S.T., McRae, A.A., Mohan, R.: Algorithms and complexity of power domination in graphs. In: Haynes, T.W., Hedetniemi, S.T., Henning, M.A. (eds.) Structures of Domination in Graphs. DM, vol. 66, pp. 461–484. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-58892-2_15
Sudakov, B., Vu, V.H.: Local resilience of graphs. Random Struct. Algorithms 33(4), 409433 (2008)
Alwasel, B., Wolthusen, S.D.: Recovering structural controllability on Erdős-Rényi graphs in the presence of compromised nodes. In: Rome, E., Theocharidou, M., Wolthusen, S. (eds.) CRITIS 2015. LNCS, vol. 9578, pp. 105–119. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-33331-1_9
Lou, Y., Wang, L., Chen, G.: Toward stronger robustness of network controllability: a snapback network model. IEEE Trans. Circ. Syst. I: Regular Papers 65(9), 2983–2991 (2018)
Li, X., Zhang, Z., Liu, J., Gai, K.: A new complex network robustness attack algorithm. In: Proceedings of the ACM international Symposium on Blockchain and Secure Critical Infrastructure, pp. 13–17 (2019)
Chen, G., Lou, Y., Wang, L.: A comparative study on controllability robustness of complex networks. IEEE Trans. Circ. Syst. II: Express Briefs 66(5), 828–832 (2019)
Alwasel, B.: Recovery of structural controllability into critical infrastructures under malicious attacks. Int. J. Adv. Comput. Sci. Appl. 11(4), 723–728 (2020)
Lou, Y., He, Y., Wang, L., Chen, G.: Predicting network controllability robustness: a convolutional neural network approach. IEEE Trans. Cybern. (2020)
Alwasel, B.: Robustness analysis of structural controllability for directed networks against single edge attacks. Int. J. Innovative Technol. Expl. Eng. 9(8), 944–951 (2020)
Alwasel, B.: Simulating robustness of structural controllability for directed networks under multi-round edge strategies. IEEE Access 9, 84688–84699 (2021)
Ramos, G., Silvestre, D., Silvestre, C.: The robust minimal controllability and observability problem. Int. J. Robust Nonlinear Control 31(10), 5033–5044 (2021)
Zhao, J., Sun, S., Shen, H., Xia, C.: An effective network repair strategy against both random and malicious edge attacks. In: 40th Chinese Control Conference, pp. 8628–8633, IEEE (2021)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Alwasel, B. (2022). Efficient Restoration of Structural Controllability Under Malicious Edge Attacks for Complex Networks. In: Barolli, L., Hussain, F., Enokido, T. (eds) Advanced Information Networking and Applications. AINA 2022. Lecture Notes in Networks and Systems, vol 449. Springer, Cham. https://doi.org/10.1007/978-3-030-99584-3_14
Download citation
DOI: https://doi.org/10.1007/978-3-030-99584-3_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-99583-6
Online ISBN: 978-3-030-99584-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)