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.
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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.