Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance

• Published in: IEEE access Vol. 8; pp. 159471 - 159478
• Main Authors: Jiang, Chunfeng, Fu, Shihua, Zhao, Jianli
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Boolean; Boolean algebra; Boolean functions; Control stability; DBNs; Delay effects; disturbance inputs; Feedback control; Networks; Robust control; robust stabilisation; Robust stability; Robust stabilization; Robustness; Stability analysis; State feedback; STP; Tensors; Trajectory

In this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is...