Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching | Zendy

Yuanyuan Li | Zendy; Bowen Li | Zendy; Yang Liu | Zendy; Jianquan Lu | Zendy; Zhen Wang | Zendy; Fuad E. Alsaadi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching

Author(s) -

Yuanyuan Li,

Bowen Li,

Yang Liu,

Jianquan Lu,

Zhen Wang,

Fuad E. Alsaadi

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2851391

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

This paper is devoted to studying the set stability and stabilization of switched Boolean networks (SBNs) with state-based switching using the semi-tensor product (STP) of matrices. First, the algebraic form of an SBN is obtained by STP. Then, a necessary and sufficient condition for set stability is presented for a given set and state-based switching matrix. In addition, state-based switching matrices are designed such that systems can be stabilized to a given set. The selection strategy for pinning nodes is also given, and pinning controllers are designed such that systems can achieve set stabilization via a state-based switching matrix. Finally, examples are provided to illustrate the effectiveness of the obtained results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research