Stabilization of Delayed Boolean Control Networks via Ledley Antecedence Solution

Abstract

In this paper, we investigate the stabilization of Boolean control networks (BCNs) with time delay both in states and inputs. A necessary and sufficient condition to detect stabilization of BCNs with time delay is obtained using ledley antecedence solution. Moreover, a simple algorithm to design all valid state feedback controllers via Ledly antecedence solution is also given. In the end, an illustrative example is given to support our new results.