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.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Jury stability criterion | 1 |
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 NERFINISHED ⓘ |
| output | decision on whether all roots lie inside the unit circle ⓘ |
| purpose | to determine stability of discrete-time systems ⓘ |
| relatedTo |
Routh–Hurwitz criterion
NERFINISHED
ⓘ
Schur–Cohn criterion NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Jury stability criterion