Title :
Controllability versus sensitivity in linear discrete systems
Author :
Locatelli, Arturo ; Rinaldi, Stefano
Author_Institution :
Stanford University, Stanford, CA, USA
fDate :
4/1/1970 12:00:00 AM
Abstract :
This correspondence deals with the controllability of the sensitivity system associated to a given linear discrete system. It is proved that, apart from exceptional cases, the sensitivity system is always uncontrollable provided that the number of the parameters is sufficiently large. The results presented here have a structural nature since they involve only the dimensions of the state, control, and parameter vectors.
Keywords :
Controllability; Linear systems, time-invariant discrete-time; Sensitivity analysis; Automatic control; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Hafnium; Kalman filters; Linear systems; Optimal control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099427