Jury stability table
E569296
discrete-time stability test
method in control theory
method in signal processing
stability criterion
The Jury stability table is a tabular method used in control theory and signal processing to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle, ensuring system stability.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jury stability table canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6112933 — 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 stability table Context triple: [Eliahu I. Jury, hasConceptNamedAfter, Jury stability table]
-
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.
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B.
Jüri
Jüri is a small settlement in northern Estonia that serves as the administrative hub of Rae Parish in Harju County.
-
C.
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.
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D.
Massachusetts Office of Jury Commissioner
The Massachusetts Office of Jury Commissioner is the state agency responsible for managing and overseeing the jury selection and service process in Massachusetts courts.
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E.
The Judge's List
The Judge's List is a legal thriller novel by John Grisham that follows a meticulous serial killer being hunted through the judicial system by a determined investigator.
- 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 stability table Target entity description: The Jury stability table is a tabular method used in control theory and signal processing to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle, ensuring system stability.
-
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.
Jüri
Jüri is a small settlement in northern Estonia that serves as the administrative hub of Rae Parish in Harju County.
-
C.
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.
-
D.
Massachusetts Office of Jury Commissioner
The Massachusetts Office of Jury Commissioner is the state agency responsible for managing and overseeing the jury selection and service process in Massachusetts courts.
-
E.
The Judge's List
The Judge's List is a legal thriller novel by John Grisham that follows a meticulous serial killer being hunted through the judicial system by a determined investigator.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
discrete-time stability test
ⓘ
method in control theory ⓘ method in signal processing ⓘ stability criterion ⓘ |
| advantage | avoids explicit computation of polynomial roots ⓘ |
| analogOf | Routh–Hurwitz test for discrete-time systems NERFINISHED ⓘ |
| appliesTo |
causal discrete-time systems
ⓘ
discrete-time linear time-invariant systems ⓘ |
| assesses | BIBO stability of discrete-time LTI systems ⓘ |
| assumes | polynomial with real coefficients in standard form ⓘ |
| basedOn | characteristic polynomial of the system ⓘ |
| category | root-location method ⓘ |
| checks |
magnitude of polynomial roots
ⓘ
sign and magnitude conditions on table entries ⓘ |
| comparesWith | continuous-time stability tests ⓘ |
| conditionType | necessary and sufficient for all roots inside unit circle ⓘ |
| criterionType | algebraic test ⓘ |
| domain | z-transform domain ⓘ |
| ensures | discrete-time system stability ⓘ |
| field |
control theory
ⓘ
digital signal processing ⓘ |
| goal | determine if all roots of a polynomial lie inside the unit circle ⓘ |
| input | coefficients of the characteristic polynomial ⓘ |
| introducedIn | 20th century ⓘ |
| mathematicalObject | finite sequence of row operations on polynomial coefficients ⓘ |
| namedAfter | Eliahu Jury NERFINISHED ⓘ |
| output |
necessary and sufficient conditions for stability
ⓘ
stability verdict ⓘ |
| relatedConcept |
characteristic equation of a closed-loop system
ⓘ
unit circle stability ⓘ z-plane root locus ⓘ |
| relatedTo |
Jury stability criterion
ⓘ
Routh–Hurwitz criterion NERFINISHED ⓘ Schur–Cohn criterion NERFINISHED ⓘ |
| representation | table of coefficients and transformed coefficients ⓘ |
| requires |
nonzero leading coefficient of the polynomial
ⓘ
polynomial order to be known ⓘ |
| stabilityRegion | inside the unit circle in the complex plane ⓘ |
| usedBy |
control engineers
ⓘ
signal processing engineers ⓘ |
| usedFor |
analysis of digital control systems
ⓘ
analysis of digital filters ⓘ design verification of discrete-time controllers ⓘ |
| usedIn |
robust control analysis
ⓘ
stability margin studies ⓘ |
| uses |
recursive construction of rows from previous rows
ⓘ
tabular arrangement of polynomial coefficients ⓘ |
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 stability table Description of subject: The Jury stability table is a tabular method used in control theory and signal processing to determine whether all roots of a discrete-time system’s characteristic polynomial lie inside the unit circle, ensuring system stability.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.