Extended Table for Eliminating the Singularities in Routh ’ s Array
نویسنده
چکیده
below) a sequence of e.0. polynomials [SI S. V. Salehi and E. P. Ryan. “On optimal nonlinear feedback regulation of linear plants,” IEEE Trans. Auiomai. Contr., vol. AC-27, pp. 1260-1264, 1982. [ IO] J . Sandor and D. Williamson. “Design of nonlinear regulators for linear plants,” IEEE Truns. Automar. Conrr.. vol. AC-22. pp. 47-50, 1977. 1111 F. G. Shinsky, Process Control Syslems. 2nd ed. New York: McGraw-Hill, 1979, pp. 132-135. [ 121 G. W. Stewart. “HQR3 and EXCHNG: Fortran subroutines for calculating and ordering the eigenvalues of a real upper Hessenberg matrix,’’ ACM Trans. Math. Sofrwure, vol. 2 , pp. 275-280, 1976.
منابع مشابه
Rings of Singularities
This paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``Advanced School and Conference on homological and geometrical methods in representation theory'' at the International Centre for Theoretical Physics (ICTP), Miramare - Trieste, Italy, 11-29 January 2010. We show how to associate to a triple of posit...
متن کاملA New Formulation of the Theorems of Hurwitz, Routh and Sturm
It is shown that the Hurwitz determinants associated with a real polynomial of degree n can be obtained from minors of matrices having orders n/2 or (« —1)/2 according as n is even or odd. The method used is based on forming companion matrices of appropriate polynomials, and is extended to calculation of Routh arrays, Sturm sequences and to complex polynomials, thus providing a new formulation ...
متن کاملComments on "Model Reduction Using the Routh Stability Criterion"
A model reduction technique suggested in the above paper' is discnssed. Although the proposed method is very simple and devoid of any tedious calculations it is shown that the applicability of the technique is restricted. For t h e cases for which the procedure works the redaced order model matches the low-frequency response rather poorly. Tke proposed method is thus not suitable for the analys...
متن کاملAn Algebraic Approach for stability Analysis of Linear Systems with Complex Coefficients
In this paper employing Routh's table, a geometrical stability criterion for the analysis of linear time-invariant system is formulated. The proposed stability criterion is applied for the system, whose characteristic equation having complex coefficients. For this Routh like table is presented with complex terms and the signs pair-wise elements with the first column of the table are observ...
متن کاملبررسی شکافتگی کوچک و دیگر تکینگیهای آینده عالم و برقراری قانون دوم ترمودینامیک در نظریه
The future singularities are possible in a universe that is described by F(R) theory. In previous studies the occurrence of the singularities in F(R) theory have been considered by using a special function for the Hubble parameter and calculating the F(R) function for each of the singularities. Using the specified Hubble parameter causes some difficulties in the study of the second law of therm...
متن کامل