Routh–Hurwitz stability criterion
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
linear time-invariant systems
|
| gptkbp:criteria |
algebraic
|
| gptkbp:field |
gptkb:mathematics
control theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Routh–Hurwitz stability criterion
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:method |
construct Routh array
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
gptkb:Edward_John_Routh |
| gptkbp:purpose |
determine stability of a system
|
| gptkbp:relatedTo |
gptkb:Jury_stability_criterion
gptkb:Lyapunov_stability gptkb:Nyquist_stability_criterion |
| gptkbp:requires |
coefficients of characteristic polynomial
|
| gptkbp:result |
system is stable if all roots have negative real parts
|
| gptkbp:usedFor |
analyzing characteristic polynomials
|
| gptkbp:usedIn |
gptkb:signal_processing
engineering system dynamics automatic control |
| gptkbp:bfsParent |
gptkb:Edward_John_Routh
|
| gptkbp:bfsLayer |
5
|