Routh's stability criterion

Routh's stability criterion
критерий устойчивости Рута

Englsh-Russian aviation and space dictionary. - M.: Military publishing house USSR Ministry of Defence. . 1974.

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  • Nyquist stability criterion — The Nyquist plot for . When designing a feedback control system, it is generally necessary to determine whether the closed loop system will be stable. An example of a destabilizing feedback control system would be a car steering system that… …   Wikipedia

  • Jury stability criterion — The Jury stability criterion is a method of determining the stability of a linear discrete time system by analysis of the coefficients of its characteristic polynomial. It is the discrete time analogue of the Routh Hurwitz stability criterion.… …   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

  • Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… …   Wikipedia

  • BIBO stability — Bibo redirects here. For the Egyptian football player nicknamed Bibo, see Mahmoud El Khateeb. In electrical engineering, specifically signal processing and control theory, BIBO stability is a form of stability for signals and systems.BIBO stands… …   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

  • 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

  • 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

  • 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

  • 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


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