Premium
Some new results on the controllability and observability of linear systems and networks
Author(s) -
Lin P. M.,
Kuo Y. L.
Publication year - 1979
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490070406
Subject(s) - observability , controllability , converse , network controllability , mathematics , dual (grammatical number) , topology (electrical circuits) , control theory (sociology) , duality (order theory) , net (polyhedron) , pure mathematics , computer science , combinatorics , art , geometry , literature , control (management) , betweenness centrality , artificial intelligence , centrality
This 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 RLC n ‐ports such that controllability and observability imply each other. Theorem 2 also shows that for any RLC n ‐port, observability implies controllability, but the converse is not true.