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- Stable_polynomial abstract "A polynomial is said to be stable if either: all its roots lie in the open left half-plane, or all its roots lie in the open unit disk.The first condition provides stability for (or continuous-time) linear systems, and the second case relates to stabilityof discrete-time linear systems. A polynomial with the first property is called at times a Hurwitz polynomial and with the second property a Schur polynomial. Stable polynomials arise in control theory and in mathematical theoryof differential and difference equations. A linear, time-invariant system (see LTI system theory) is said to be BIBO stable if every bounded input produces bounded output. A linear system is BIBO stable if its characteristic polynomial is stable. The denominator is required to be Hurwitz stable if the system is in continuous-time and Schur stable if it is in discrete-time. In practice, stability is determined by applying any one of several stability criteria.".
- Stable_polynomial wikiPageExternalLink StablePolynomial.html.
- Stable_polynomial wikiPageID "2057699".
- Stable_polynomial wikiPageLength "3710".
- Stable_polynomial wikiPageOutDegree "25".
- Stable_polynomial wikiPageRevisionID "620659426".
- Stable_polynomial wikiPageWikiLink BIBO_stability.
- Stable_polynomial wikiPageWikiLink Bistritz_stability_criterion.
- Stable_polynomial wikiPageWikiLink Category:Polynomials.
- Stable_polynomial wikiPageWikiLink Category:Stability_theory.
- Stable_polynomial wikiPageWikiLink Control_theory.
- Stable_polynomial wikiPageWikiLink Discrete_time_and_continuous_time.
- Stable_polynomial wikiPageWikiLink Half-space_(geometry).
- Stable_polynomial wikiPageWikiLink Hurwitz_polynomial.
- Stable_polynomial wikiPageWikiLink Jury_stability_criterion.
- Stable_polynomial wikiPageWikiLink LTI_system_theory.
- Stable_polynomial wikiPageWikiLink Liénard–Chipart_criterion.
- Stable_polynomial wikiPageWikiLink Möbius_transformation.
- Stable_polynomial wikiPageWikiLink Open_set.
- Stable_polynomial wikiPageWikiLink Polynomial.
- Stable_polynomial wikiPageWikiLink Root_of_unity.
- Stable_polynomial wikiPageWikiLink Routh–Hurwitz_stability_criterion.
- Stable_polynomial wikiPageWikiLink Routh–Hurwitz_theorem.
- Stable_polynomial wikiPageWikiLink Schur_polynomial.
- Stable_polynomial wikiPageWikiLink Stability_criterion.
- Stable_polynomial wikiPageWikiLink Stability_radius.
- Stable_polynomial wikiPageWikiLink Time-invariant_system.
- Stable_polynomial wikiPageWikiLink Unit_disk.
- Stable_polynomial wikiPageWikiLinkText "Hurwitz stable".
- Stable_polynomial wikiPageWikiLinkText "Hurwitz-stable".
- Stable_polynomial wikiPageWikiLinkText "Stable polynomial".
- Stable_polynomial wikiPageWikiLinkText "necessary condition of stability".
- Stable_polynomial wikiPageWikiLinkText "stability of polynomials".
- Stable_polynomial wikiPageWikiLinkText "stability".
- Stable_polynomial wikiPageWikiLinkText "stable polynomial".
- Stable_polynomial wikiPageWikiLinkText "stable".
- Stable_polynomial subject Category:Polynomials.
- Stable_polynomial subject Category:Stability_theory.
- Stable_polynomial type Type.
- Stable_polynomial type Function.
- Stable_polynomial type Polynomial.
- Stable_polynomial type Type.
- Stable_polynomial comment "A polynomial is said to be stable if either: all its roots lie in the open left half-plane, or all its roots lie in the open unit disk.The first condition provides stability for (or continuous-time) linear systems, and the second case relates to stabilityof discrete-time linear systems. A polynomial with the first property is called at times a Hurwitz polynomial and with the second property a Schur polynomial.".
- Stable_polynomial label "Stable polynomial".
- Stable_polynomial sameAs Q13424738.
- Stable_polynomial sameAs Wielomian_stabilny.
- Stable_polynomial sameAs m.06j3gc.
- Stable_polynomial sameAs Устойчивый_многочлен.
- Stable_polynomial sameAs Q13424738.
- Stable_polynomial wasDerivedFrom Stable_polynomial?oldid=620659426.
- Stable_polynomial isPrimaryTopicOf Stable_polynomial.