Stabilisation of Boolean control networks with state-dependent constraints via space extension and pre-feedback

摘要

In this study, the authors investigate the stabilisation of Boolean control networks (BCNs) with state-dependent constraints. A BCN with constraints is converted to a logical control system (LCS) defined in extended state space and input space. Then, a pre-feedback is designed to transfer the resulting LCS with state-dependent input constraints into an LCS with free control inputs. With this method, a necessary and sufficient condition for stabilisability is obtained, and a procedure is proposed to obtain all time-optimal feedback stabilisers. An illustrative example is given to explain the proposed method.