On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances

Abstract EN

This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices.

Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances.

Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs.

According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller.

Finally, an illustrative example is presented to demonstrate the obtained theoretical results.