Impulsive stabilization and synchronization of electro-mechanical gyrostat systems

The electro-mechanical gyrostat system has become a fundamental model of nonlinear dynamics due to its potential applications in practical engineering. It has also been intensively investigated in the last few years due to its intrinsic and complex nonlinear dynamical behaviors. This paper is mainly concerned on the issues of impulsive stabilization and synchronization of chaotic electro-mechanical gyrostat systems. Based on the practical stability theory of impulsive dynamical systems, some simple yet less conservative criteria ensuring impulsive stabilization and synchronization of electro-mechanical gyrostat systems are derived. Subsequently, numerical simulations are presented to demonstrate the effectiveness of the proposed control techniques.