Asymptotical Stability of Probabilistic Boolean Networks With State Delays

• Published in: IEEE transactions on automatic control Vol. 65; no. 4; pp. 1779 - 1784
• Main Authors: Zhu, Shiyong, Lu, Jianquan, Liu, Yang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asymptotic properties; Asymptotic stability; Asymptotical stability; Boolean; Boolean algebra; Boolean functions; Complexity; Delays; Dimensional stability; induced equations; Markov chains; Markov processes; Mathematical analysis; Mathematical model; probabilistic Boolean networks (PBNs); semitensor product (STP); Stability analysis; Stability criteria; state delays; Thermal stability

This paper devotes to establishing a bridge between asymptotical stability of a probabilistic Boolean network (PBN) and a solution to its induced equations, which are induced from the PBN's transition matrix. By utilizing the semitensor product technique routinely, the dynamics of a PBN with co...