• NUMERICAL STUDY OF SYNCHRONIZATION & ANTI- SYNCHRONIZATION OF A ROTATING SATELLITE

Abstract

This paper considers the synchronization and anti-synchronization (AS) behaviour of two identical nonlinear dynamical systems of a rotating 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, are found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and anti-synchronization between the states variables of two dynamical systems under consideration. Numerical simulations are presented to illustrate the effectiveness of the proposed control techniques.