Pinning control design for robust output tracking of k-valued logical networks

This paper investigates the pinning control for the robust output tracking of k-valued logical networks (KVLNs) with disturbance inputs by using the semi-tensor product of matrices. Firstly, a necessary and sufficient condition is presented for the one step robust reachability of KVLNs. Secondly, based on the robust reachability, a constructive procedure is proposed to design state feedback pinning controls for the robust output tracking of KVLNs. Thirdly, the robust partial stabilization problem is converted to the robust output tracking control problem, and a necessary and sufficient condition is presented for the robust partial stabilization of KVLNs. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained new results.