Structural controllability
- 1 June 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 19 (3) , 201-208
- https://doi.org/10.1109/tac.1974.1100557
Abstract
The new concepts of "structure" and "structural controllability" for a linear time-invariant control system (described by a pair ( )) are defined and studied. The physical justification of these concepts and examples are also given. The graph of a pair ( ) is also defined. This gives another way of describing the structure of this pair. The property of structural controllability is reduced to a property of the graph of the pair ( ). To do this, the basic concept of a "cactus" and the related concept of a "precactus" are introduced. The main result of this paper states that the pair ( ) is structurally controllable if an only if the graph of ( ) is "spanned by a cactus." The result is also expressed in a more conventional way, in terms of some properties of the pair ( ).Keywords
This publication has 2 references indexed in Scilit:
- Canonical forms for linear multivariable systemsIEEE Transactions on Automatic Control, 1967
- Mathematical Description of Linear Dynamical SystemsJournal of the Society for Industrial and Applied Mathematics Series A Control, 1963