Title :
A note on persistency of excitation
Author :
Willems, Jan C. ; Markovsky, Ivan ; Rapisarda, Paolo ; De Moor, B.L.M.
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium
Abstract :
We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full system behavior. This is then applied to obtain conditions under which the state trajectory of a state representation spans the whole state space.
Keywords :
linear systems; state-space methods; annihilators; behavioral systems; controllable linear time-invariant system; persistency of excitation; state representation; state trajectory; Adaptive control; Control systems; Kernel; Mathematics; Signal processing; State-space methods; Sufficient conditions; System identification;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428856
