Details

Autor(en) / Beteiligte

• Liu, Yang
• Chen, Hongwei
• Lu, Jianquan
• Wu, Bo

Titel

Controllability of probabilistic Boolean control networks based on transition probability matrices

Ist Teil von

• Automatica (Oxford), 2015-02, Vol.52, p.340-345

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2015

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we propose a new approach to investigate the controllability and reachability of probabilistic Boolean control networks (PBCNs) with forbidden states. We first give a simple algebraic formula for the transition probability between two states in a given number of time-step, while avoiding a set of forbidden states. Then we construct the controllability matrix based on a new operator, and some necessary and sufficient conditions are obtained for the controllability and reachability of PBCNs. A numerical example is given to illustrate the efficiency of the obtained results.