Robust Finite-Time Consensus of Coupled Markovian Logical Dynamic Networks

This brief investigates the robust finite-time consensus of coupled Markovian logical dynamic networks (CMLDNs) with disturbance inputs. In this context, the states of CMLDNs are interlaced, and the switching modes rely on two independent Markov chains. By constructing an augmented auxiliary system, a necessary and sufficient criterion for robust finite-time consensus of CMLDNs is derived. Furthermore, a new approach is proposed to establish another concise augmented auxiliary system. Under this setting, an improved criterion is accordingly presented to significantly diminish the dimensions of iteration. Finally, a numerical example is given to verify the theoretical results.