This article is devoted to information processing, simulation, and mathematical modeling of vessel human operators' actions and signal and image processing during human computer interaction, and also further vessel computer control system learning. The report provides a brief overview of the results obtained in the course of processing data from experiments carried out on vessel computer control systems' simulators and real vessel computer control systems. Processing of the experimental information made it possible to obtain quantitative and qualitative assessments of the human operator's decisions. The report discusses the correspondence between the results of computer simulations of human operator actions and the results of experiments conducted on vessel computer control systems' simulators and real vessel computer control systems. A qualitative description of practical results and practical recommendations for vessel control system interface design to improve the reliability of the vessel operator's control actions are given. Further research directions are outlined. Research gaps are also discussed.