Abstract: In this paper the problem of stabilization of a particular class of hybrid systems is approached. For the class of discrete-time hybrid systems with time-delays, it is shown that under some assumption it is possible to express these systems in a common representation: piecewise affine systems. The stability of such systems is proved through Lyapunov theory, more accurate through quadr...

In this paper, we propose a new sampled-data controller for stabilization of the attitude dynamics at desired constant configuration. The design is based on discrete-time interconnection and damping assignment (IDA) passivity-based control (PBC) recently proposed Hamiltonian representation nonlinear dynamics. Approximate solutions are provided with simulations illustrating performances.