eesti teaduste
akadeemia kirjastus
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of the estonian academy of sciences
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A note on the relationship between single- and multi-experiment observability for discrete-time nonlinear control systems; pp. 174–178

Full article in PDF format | doi: 10.3176/proc.2011.3.05

Vadim Kaparin, Ülle Kotta, Alexey Ye. Shumsky, Alexey N. Zhirabok


The connection between the concepts of the single-experiment and the multi-experiment unobservability of a nonlinear discrete-time control system is studied. The main result claims that if the system is single-experiment unobservable and the observable space is integrable, then the system is also multi-experiment unobservable. For the proof of the main result a novel mathematical technique, the so-called algebra of functions, is used.


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