Questions of controllability and observability for nonuniformly sampled discrete systems

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to the arbitrary choice of the sampling instants, is used to improve the sensitivity of system controllability and observability, by exploiting an adequate geometric structure. Some qualitative examples are presented for illustrative purposes.