A note on persistency of excitation
- 1 January 2004
- conference paper
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3 (01912216), 2630-2631 Vol.3
- https://doi.org/10.1109/cdc.2004.1428856
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
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