The role of controllability in some sensitivity problems†
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 19 (1) , 57-64
- https://doi.org/10.1080/00207177408932610
Abstract
The controllability properties of the sensitivity system are shown to play an essential role in a number of control problems. By thoroughly analysing the Jordan canonical form of the sensitivity system, the condition is obtained that such a system is uncontrollable whenever the number of parameters is greater than the number of control variables. Finally, the single input case is completely solved through a necessary and sufficient condition for structural controllability.Keywords
This publication has 3 references indexed in Scilit:
- Generation of sensitivity functions for linear systems using low-order modelsIEEE Transactions on Automatic Control, 1969
- On the existence of the optimal control for linear uncontrollable systemsJournal of Optimization Theory and Applications, 1969
- Comment on "On invariance and sensitivity"IEEE Transactions on Automatic Control, 1967