Routh–Hurwitz theorem

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo polynomials
characteristic equation of a system
gptkbp:concerns stability of linear systems
gptkbp:criteria algebraic criterion
gptkbp:field gptkb:mathematics
complex analysis
control theory
linear algebra
https://www.w3.org/2000/01/rdf-schema#label Routh–Hurwitz theorem
gptkbp:namedAfter gptkb:Adolf_Hurwitz
gptkb:Edward_John_Routh
gptkbp:provides criterion for all roots of a polynomial to have negative real parts
gptkbp:publishedIn 19th century
gptkbp:relatedTo gptkb:Hurwitz_matrix
gptkb:Routh_array
gptkb:Lyapunov_stability
gptkbp:usedFor determining stability without computing roots
gptkbp:usedIn gptkb:signal_processing
engineering
automatic control
gptkbp:bfsParent gptkb:Hurwitz_polynomial
gptkbp:bfsLayer 6