Stochastic stabilization and destabilization of ship maneuvering motion by multiplicative noise

In 1982, Tsubokawa et al. (J SocNaval Arch Japan 1982: 101, 1982) examined ship maneuvering motion and revealed through numerical simulations that even a ship with unstable maneuvering characteristics could stabilize its course stability when wind or wave disturbance occurs. In this study, we assume that the facts confirmed by Tsubokawa et al. (J SocNaval Arch Japan 1982: 101, 1982) in their numerical calculations are attributed to the random variation of the coefficients inside the equations of motion. Moreover, in the control research field, certain contributions to stabilization and destabilization because of noise disturbance have been reported. Therefore, the existing works of Mao (Syst Control Lett 23: 2709, 1994), Arnold (Siam J Appl Mathemat 46: 427, 1986), and Kozin (SIAM J Appl Mathemat 21: 413, 1971) were explored and extended in this study. Moreover, we uncovered the mechanism of stabilization and destabilization of the ship maneuvering system.