Stabilizability of the systemẋ(t)=Fx(t)+Gu(t-h)
- 1 April 1977
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 22 (2) , 269-270
- https://doi.org/10.1109/tac.1977.1101444
Abstract
Stabilizability problem for the system \dot{x}(t)= Fx(t) + Gu(t - h) is considered. For appropriate discrete model x_{k+1} = Ax_{k} + Bu_{k-1} the feedback controller which has the form u_{k} =\Sigma\min{i=0}\max{l}F_{i}x_{k-i} is proposed. It is proven that controllability of the pair ( A,B ) and cyclicity of the A matrix imply stabilizability. Some extensions and applications are also mentioned.Keywords
This publication has 1 reference indexed in Scilit:
- Linear Multivariable ControlPublished by Springer Nature ,1974