Set Stabilization of Large-Scale Stochastic Boolean Networks: A Distributed Control Strategy

Dear Editor, This letter deals with the set stabilization of stochastic Boolean control networks (SBCNs) by the pinning control strategy, which is to realize the full control for systems by imposing control inputs on a fraction of agents. The pinned agents are determined based on the information on the network structure, rather than the whole state transition, of an SBCN. Regarding each pinned agent, a mode-dependent pinning controller and a more economical mode-independent pinning controller are designed to stabilize SBCNs towards a given state set. Finally, a 90-nodal T-cell receptor signaling network is presented to illustrate the theoretical validity of the obtained results.