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Control-capacity analysis and optimized construction for controlled interdependent networks

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  • Guo, Tianjiao
  • Tu, Lilan
  • Guo, Yifei
  • Hu, Jia
  • Su, Qingqing

Abstract

In order to obtain interdependent networks with stronger control-capacity, in this paper, based on Kalman’s rank theory, a widely used and improved index of control-capacity for controlled interdependent networks is firstly analyzed and proposed theoretically, and two examples are employed to show the feasibility and effectiveness of this presented index. Secondly, with this index, the influence of the intra-couplings, network scale, inter-coupling strength, inter-couplings, and controllers on the control-capacity of sixteen controlled interdependent networks with two subnets, which are any combination of BA scale-free network, WS small-world network, NW small-world network and ER random network, are analyzed and discussed, as well as their optimal structures and various parameters for best control-capacity. Finally, with this index proposed, a novel algorithm is put forward to build up interdependencies or inter-couplings to enhance the control-capacity of controlled interdependent networks. The simulations show that the algorithm designed in this paper is feasible and effective, and can achieve interdependent networks with stronger control-capacity.

Suggested Citation

  • Guo, Tianjiao & Tu, Lilan & Guo, Yifei & Hu, Jia & Su, Qingqing, 2023. "Control-capacity analysis and optimized construction for controlled interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
    • Handle: RePEc:eee:phsmap:v:616:y:2023:i:c:s0378437123001528
    DOI: 10.1016/j.physa.2023.128597
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    1. Fu, Xiuwen & Li, Qing & Li, Wenfeng, 2023. "Modeling and analysis of industrial IoT reliability to cascade failures: An information-service coupling perspective," Reliability Engineering and System Safety, Elsevier, vol. 239(C).

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