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A note on the structure of system state spaces and its implications on the existence of non-repeatable experiments

โœ Scribed by Matthew Witten

Publisher
Springer
Year
1980
Tongue
English
Weight
282 KB
Volume
42
Category
Article
ISSN
1522-9602

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โœฆ Synopsis

The implication of state space structure on the existence of a repeatable experiment E designed to determine if a state sE5 ~ has property P or not P is investigated. It is shown that if a state space ~ is connected, then no experiment E is repeatable_ This formalism is used to demonstrate that if a property P has an associated set of points in 5 e which is dense with dense complement in 5e, then there exists no repeatable experiment E which can be used to test whether s has property P or not P. Other consequences of this formalization are discussed.

๐Ÿ“œ SIMILAR VOLUMES

A note on the existence of a solution an
A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems
โœ Guoping Lu; Daniel W.C. Ho; Lei Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

This paper addresses the existence and uniqueness of a solution and stability for Lipschitz discrete-time descriptor systems. By means of the fixed point principle, a criterion is presented via a matrix inequality, and the criterion guarantees the existence and uniqueness of a solution. In addition,