Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695792 | Automatica | 2015 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Yang Liu, Hongwei Chen, Jianquan Lu, Bo Wu,