Invariant Subspace Approach to Boolean (Control) Networks

A logical function can be used to characterize a property of states Boolean network (BN), which is considered as an aggregation states. The dynamics set functions are called the dual set. To illustrate given set, characterizes our concerned properties BN, invariant subspace containing proposed, and its investigated. Then, control (BCN) also obtained. Finally, using outputs functions, minimum output based proposed realization BCNs. might have much smaller size, provides possible solution overcome computational complexity large scale BNs/BCNs. As example, approaches for both BN BCN applied opinion dynamic demonstrate efficiency technique in this article.