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Routh-Hurwitz theorem

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  • Routh–Hurwitz theorem — In mathematics, Routh–Hurwitz theorem gives a test to determine whether a given polynomial is Hurwitz stable. It was proved in 1895 and named after Edward John Routh and Adolf Hurwitz.NotationsLet f(z) be a polynomial (with complex coefficients)… …   Wikipedia

  • Routh-Hurwitz stability criterion — The Routh Hurwitz stability criterion is a necessary (and frequently sufficient) method to establish the stability of a single input, single output (SISO), linear time invariant (LTI) control system. More generally, given a polynomial, some… …   Wikipedia

  • Hurwitz — is a surname and may refer to:*Aaron Hurwitz, musician, see Live on Breeze Hill *Adolf Hurwitz (1859 1919), German mathematician **Hurwitz polynomial **Hurwitz matrix **Hurwitz quaternion **Hurwitz s automorphisms theorem **Hurwitz zeta function… …   Wikipedia

  • Derivation of the Routh array — The Routh array is a tabular method permitting one to establish the stability of a system using only the coefficients of the characteristic polynomial. Central to the field of control systems design, the Routh–Hurwitz theorem and Routh array… …   Wikipedia

  • Polynôme de Hurwitz — Un polynôme de Hurwitz, ainsi nommé en l honneur du mathématicien allemand Adolf Hurwitz, est un polynôme d’une variable à coefficients réels dont les racines sont toutes à partie réelle strictement négative. En particulier, de tels polynômes… …   Wikipédia en Français

  • Edward Routh — Infobox Scientist name = Edward Routh caption = Edward John Routh (1831 1907) birth date = birth date|1831|1|20|df=y birth place = Quebec, Canada death date = death date and age|1907|6|7|1831|1|20|df=y death place = Cambridge, England residence …   Wikipedia

  • Sturm's theorem — In mathematics, Sturm s theorem is a symbolic procedure to determine the number of distinct real roots of a polynomial. It was named for Jacques Charles François Sturm, though it had actually been discovered by Jean Baptiste Fourier; Fourier s… …   Wikipedia

  • Kharitonov's theorem — is a result used in control theory to assess the stability of a dynamical system when the physical parameters of the system are not known precisely. When the coefficients of the characteristic polynomial are known, the Routh Hurwitz stability… …   Wikipedia

  • List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… …   Wikipedia

  • List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

  • Control theory — For control theory in psychology and sociology, see control theory (sociology) and Perceptual Control Theory. The concept of the feedback loop to control the dynamic behavior of the system: this is negative feedback, because the sensed value is… …   Wikipedia

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