A note on the relationship between single- and multi-experiment observability for discrete-time nonlinear control systems

Proceedings of the Estonian Academy of Sciences

Alexey Ye. Shumsky¹  Alexey N. Zhirabok¹  Ãœlle Kotta¹  Vadim Kaparin¹ 

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关键词: nonlinear control system;    observability;    differential one-form;    algebra of functions;   

DOI  :  10.3176/proc.2011.3.05

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

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.

【 授权许可】

Unknown