Title :
Positive Controllability Test for Continuous-Time Linear Systems
Author :
Yoshida, Hiroshi ; Tanaka, Tetsuro
Author_Institution :
Kagoshima Univ., Kagoshima
Abstract :
This note presents a method to test the positive controllability of a continuous-time linear system. Based on the Jordan canonical form, the controllability of a given system can be reduced to those of its subsystems with real eigenvalues. Because the dimension of the subsystem is smaller than that of the given system, the controllability test can be simplified. It is pointed out that the conditions for a continuous-time system to be positive controllable have almost the same expressions as those for a discrete-time system.
Keywords :
continuous time systems; controllability; eigenvalues and eigenfunctions; linear systems; Jordan canonical form; continuous-time linear systems; discrete-time system; eigenvalues; positive controllability test; Control systems; Controllability; Eigenvalues and eigenfunctions; Kalman filters; Linear systems; Optimal control; Sufficient conditions; System testing; Continuous-time linear system; Jordan canonical form; controllability test; positive control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.904278
