[1]LYU Hongli,SONG Yujing,DUAN Peiyong.Fuzzy modeling and dynamic analysis of nonlinear Boolean networks systems[J].CAAI Transactions on Intelligent Systems,2018,13(5):707-715.[doi:10.11992/tis.201704023]
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Fuzzy modeling and dynamic analysis of nonlinear Boolean networks systems

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 13 Number of periods: 2018 5 Page number: 707-715 Column: 学术论文—智能系统 Public date: 2018-09-05
Title:
Fuzzy modeling and dynamic analysis of nonlinear Boolean networks systems
Author(s):
LYU Hongli1;  SONG Yujing1;  DUAN Peiyong2
1. School of Information and Electrical Engineering, Shandong Jianzhu University, Ji’nan 250101, China;
2. School of Information Science and Engineering, Shandong Normal University, Ji’nan 250014, China
Keywords:
fuzzy dynamical model; Boolean network; semi-tensor product; local model; global model; controllability; observability; stability
CLC:
TP273
DOI:
10.11992/tis.201704023
Abstract:
Considering the difficulty in accurately modeling nonlinear systems and analyzing their dynamic properties, the Boolean network system theories are extended to the nonlinear Boolean network system based on a fuzzy dynamic model, establishing a model of fuzzy dynamic Boolean network control systems. The fuzzy dynamic model is introduced to build a fuzzy model of nonlinear Boolean network, establishing the local and global models of the nonlinear Boolean network systems. The dynamic properties, which include controllability, observability, and stability of the system, are analyzed from the local and global meanings of the system. Finally, a multi-input multi-output nonlinear Boolean network system is taken as a numerical example, and the local and global models of the system are established. The dynamic properties are simulated and analyzed, and the experimental results are obtained. The results show that the fuzzy dynamic Boolean network control system is effective in modeling nonlinear Boolean network systems and reasonably analyzes the dynamic properties, which is of great significance for further analysis of the fuzzy dynamic Boolean network control systems.
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