Some new results on the controllability and observability of linear systems and networks

摘要

AbstractThis paper introduces the concept of ‘hybrid‐dual systems’ and presents some new results on the controllability and observability of these systems. Theorem 1 states that for hybrid‐dual systems, which include dual systems as a special case, controllability of one implies observability of the other. Theorem 2 gives the topological conditions for RLCn‐ports such that controllability and observability imply each other. Theorem 2 also shows that for any RLCn‐port, observability implies controllability, but the converse