Open AccessTrajectory tracking approach to logical (control) networks
Author(s) -
Xiaoyu Zhao,
Shihua Fu
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022538
Subject(s) - controllability , observability , trajectory , truth table , computer science , expression (computer science) , mathematics , topology (electrical circuits) , boolean network , table (database) , algorithm , control (management) , theoretical computer science , control theory (sociology) , boolean function , artificial intelligence , combinatorics , data mining , physics , astronomy , programming language
Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks are analyzed. Compared to the method of logical matrix, vector form expression called structure vector method decreases the computational complex. Numerical examples show that the complexity of the structure vector method is greatly reduced.