A Hybrid Fuzzy Petri Nets and Neural Networks Framework for Modeling Critical Infrastructure Systems

Critical Infrastructure Systems (CISs) play an essential role in our life, when disasters, attacks, failures happen, such complex systems are expected to be reliable and safety, even react to undesirable accidents. Modeling CISs and developing methods to analyze their safety and dependability is of utmost importance. CIS modeling formalisms must be able to describing both discrete and continuous quantities, a hybrid system modelling approach is natural. In this work, CISs are modeled from two aspects: logic and continuous; Adaptive fuzzy Petri nets (AFPN) and neural networks are combined in our framework, where AFPN is adopted to model the logic parts, and dynamic neural networks are applied to continuous parts. Two hybrid system examples are illustrated to show the effectiveness of the proposed approach.

[1]  Jin-Fu Chang,et al.  Knowledge Representation Using Fuzzy Petri Nets , 1990, IEEE Trans. Knowl. Data Eng..

[2]  Leonardo Dueñas-Osorio,et al.  Synthesis of Modeling and Simulation Methods on Critical Infrastructure Interdependencies Research , 2010 .

[3]  Alexander S. Poznyak,et al.  Nonlinear adaptive trajectory tracking using dynamic neural networks , 1999, IEEE Trans. Neural Networks.

[4]  Xiaoou Li,et al.  Some new results on system identification with dynamic neural networks , 2001, IEEE Trans. Neural Networks.

[5]  Min Ouyang,et al.  Review on modeling and simulation of interdependent critical infrastructure systems , 2014, Reliab. Eng. Syst. Saf..

[6]  S. Sastry,et al.  Simulation of Zeno hybrid automata , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[7]  Xiaoou Li,et al.  Some stability properties of dynamic neural networks , 2001 .

[8]  Daniel S. Yeung,et al.  A multilevel weighted fuzzy reasoning algorithm for expert systems , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[9]  William H. Sanders,et al.  Randomized Timed and Hybrid Models for Critical Infrastructures , 2014 .

[10]  Marios M. Polycarpou,et al.  Hybrid systems modeling for critical infrastructures interdependency analysis , 2017, Reliab. Eng. Syst. Saf..

[11]  Xiaoou Li,et al.  Dynamic knowledge inference and learning under adaptive fuzzy Petri net framework , 2000, IEEE Trans. Syst. Man Cybern. Part C.

[12]  Manolis A. Christodoulou,et al.  Adaptive control of unknown plants using dynamical neural networks , 1994, IEEE Trans. Syst. Man Cybern..

[13]  Marcin Szpyrka,et al.  Evaluation of Cyber Security and Modelling of Risk Propagation with Petri Nets , 2017, Symmetry.