Jury test
E569295
The Jury test is a stability criterion in control theory used to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Jury stability criterion | 3 |
| Jury stability test | 2 |
| Jury test canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6112932 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Jury test Context triple: [Eliahu I. Jury, hasConceptNamedAfter, Jury test]
-
A.
The Jury
The Jury is an American legal drama television series that presents criminal trials from the perspective of the jurors deliberating the cases.
-
B.
The Missing Juror
The Missing Juror is a 1944 American mystery film centered on a reporter investigating a series of suspicious deaths among jurors from a past murder trial.
-
C.
Jüri
Jüri is a small settlement in northern Estonia that serves as the administrative hub of Rae Parish in Harju County.
-
D.
Verdict of the People
Verdict of the People is a mid-19th-century painting by American artist George Caleb Bingham that vividly depicts the tensions and atmosphere surrounding a U.S. election day.
-
E.
ground jury
A ground jury is an official panel in equestrian show jumping responsible for overseeing competitions, enforcing rules, and making decisions on disputes and penalties.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Jury test Target entity description: The Jury test is a stability criterion in control theory used to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle.
-
A.
The Jury
The Jury is an American legal drama television series that presents criminal trials from the perspective of the jurors deliberating the cases.
-
B.
The Missing Juror
The Missing Juror is a 1944 American mystery film centered on a reporter investigating a series of suspicious deaths among jurors from a past murder trial.
-
C.
Jüri
Jüri is a small settlement in northern Estonia that serves as the administrative hub of Rae Parish in Harju County.
-
D.
Verdict of the People
Verdict of the People is a mid-19th-century painting by American artist George Caleb Bingham that vividly depicts the tensions and atmosphere surrounding a U.S. election day.
-
E.
ground jury
A ground jury is an official panel in equestrian show jumping responsible for overseeing competitions, enforcing rules, and making decisions on disputes and penalties.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
method in control theory
ⓘ
stability criterion ⓘ |
| applicableWhen | system is represented by a linear difference equation ⓘ |
| appliesTo |
characteristic polynomials
ⓘ
discrete-time systems ⓘ |
| assumes | polynomial with real coefficients in many applications ⓘ |
| basedOn | properties of polynomial coefficients ⓘ |
| category | discrete-time stability analysis method ⓘ |
| checks | necessary and sufficient conditions for root locations ⓘ |
| contrastWith | continuous-time stability tests based on left-half complex plane ⓘ |
| criterionType | algebraic stability test ⓘ |
| domain | linear time-invariant systems ⓘ |
| field | control theory ⓘ |
| goal | to avoid explicit computation of polynomial roots ⓘ |
| input | characteristic polynomial of a discrete-time system ⓘ |
| mathematicalObject | polynomial in the complex variable z ⓘ |
| namedAfter | Eliahu I. Jury ⓘ |
| output | decision on whether all roots lie inside the unit circle ⓘ |
| purpose | to determine stability of discrete-time systems ⓘ |
| relatedTo |
Routh–Hurwitz criterion
ⓘ
linked to:
Routh–Hurwitz stability criterion
Schur–Cohn criterion ⓘ
linked to:
Schur algorithm
|
| requires | construction of a tabular array of polynomial coefficients ⓘ |
| stabilityCondition | all roots of the characteristic polynomial lie inside the unit circle ⓘ |
| stabilityRegion | interior of the unit circle in the complex plane ⓘ |
| usedBy |
control engineers
ⓘ
systems theorists ⓘ |
| usedIn |
digital control system design
ⓘ
discrete-time feedback system analysis ⓘ signal processing filter stability analysis ⓘ |
| uses | Jury table ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Jury test Description of subject: The Jury test is a stability criterion in control theory used to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Jury test
subject linked to:
Theory and Application of the z-Transform Method
linked to: Jury test
linked to: Jury test
linked to: Jury test
linked to: Jury test