Autonomous multidimensional systems and their implementation by behavioral control

We consider autonomous n -dimensional systems over Z n with different degrees of autonomy, which are characterized by the freeness of the system projections on certain sub-lattices of Z n . The main purpose of this contribution is to investigate the implementation of such systems in the context of behavioral control. Taking into account that stable n D behaviors are autonomous, we apply our results in order to revisit the problem of stabilization of multidimensional behaviors and complete the results presented in previous contributions.