Autonomous multidimensional systems and their implementation by behavioral control

We consider autonomous n-dimensional systems over Zn with different degrees of autonomy, which are characterized by the freeness of the system projections on certain sub-lattices of Zn. 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 nD 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.