Routh-Hurwitz test

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• 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

• 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

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• 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

• 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

• Stable polynomial — 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 defines Hurwitz (or continuous time) stability and the second one Schur (or discrete… …   Wikipedia

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• Root locus — In control theory, the root locus is the locus of the poles and zeros of a transfer function as the system gain K is varied on some interval. The root locus is a useful tool for analyzing single input single output (SISO) linear dynamic systems.… …   Wikipedia

• Bézout matrix — In mathematics, a Bézout matrix (or Bézoutian) is a special square matrix associated to two polynomials. Such matrices are sometimes used to test the stability of a given polynomial.DefinitionLet f ( z ) and g ( z ) be two complex polynomials of… …   Wikipedia

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