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In this paper, we consider the problem of controlling an nD system by means of a feedback connection. First, we characterize the system interconnections that can be implemented as feedback connections by means of a suitable choice of input/output structures. Then, we give a necessary and sufficient condition for the possibility of obtaining a desired control performance B d B from a given...
The main result of the paper states that almost any analytic single-input control system, which is truly nonlinear, that is not feedback linearizable, with controllable linearization at an equilibrium point, does not admit any symmetry preserving that point. By almost any system, we mean that we exclude a small class of odd systems, that admit just one nontrivial symmetry conjugated to minus identity...
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