Event‐triggered control for sampled‐data set stabilization of switched delayed boolean control networks

Abstract

This paper considers the event‐triggered control design for the uniform sampled‐data set stabilization of switched delayed Boolean control networks (SDBCNs). First, using the algebraic state space representation method, SDBCNs are converted into the equivalent algebraic form. Second, using the algebraic form, the uniform sampled‐data reachable sets are constructed, based on which, a necessary and sufficient condition is obtained for the uniform sampled‐data set stabilization of SDBCNs. Finally, the event‐triggered mechanism is presented, and a sufficient condition is proposed to design the time‐variant state feedback event‐triggered controller for the uniform sampled‐data set stabilization of SDBCNs.