On pole assignment in multi-input controllable linear systems
- 1 December 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 12 (6), 660-665
- https://doi.org/10.1109/tac.1967.1098739
Abstract
It is shown that controllability of an open-loop system is equivalent to the possibility of assigning an arbitrary set of poles to the transfer matrix of the closed-loop system, formed by means of suitable linear feedback of the state. As an application of this result, it is shown that an open-loop system can be stabilized by linear feedback if and only if the unstable modes of its system matrix are controllable. A dual of this criterion is shown to be equivalent to the existence of an observer of Luenberger's type for asymptotic state identification.Keywords
This publication has 3 references indexed in Scilit:
- Observers for multivariable systemsIEEE Transactions on Automatic Control, 1966
- When Is a Linear Control System Optimal?Journal of Basic Engineering, 1964
- On the stabilization of linear systemsProceedings of the American Mathematical Society, 1964