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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 wikiPageRevisionID "579908677".
- Stable_polynomial hasPhotoCollection Stable_polynomial.
- Stable_polynomial subject Category:Polynomials.
- Stable_polynomial subject Category:Stability_theory.
- Stable_polynomial type Abstraction100002137.
- Stable_polynomial type Function113783816.
- Stable_polynomial type MathematicalRelation113783581.
- Stable_polynomial type Polynomial105861855.
- Stable_polynomial type Polynomials.
- Stable_polynomial type Relation100031921.
- 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 label "Wielomian stabilny".
- Stable_polynomial label "Устойчивый многочлен".
- Stable_polynomial sameAs Wielomian_stabilny.
- Stable_polynomial sameAs m.06j3gc.
- Stable_polynomial sameAs Q13424738.
- Stable_polynomial sameAs Q13424738.
- Stable_polynomial sameAs Stable_polynomial.
- Stable_polynomial wasDerivedFrom Stable_polynomial?oldid=579908677.
- Stable_polynomial isPrimaryTopicOf Stable_polynomial.