Synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control
Summary: We investigate the synchronization and antisynchronization behavior of two identical planar oscillations of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, is found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and antisynchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using Mathematica.
identical planar oscillations of a satellite in elliptic orbit
scientific article; zbMATH DE number 6013371