A Note on the Escalator Process: Routh's Stability Criteria for Polynomial Characteristic Equations Derived by Algebra
Aircraft Engineering and Aerospace Technology
ISSN: 0002-2667
Article publication date: 1 November 1954
Abstract
If an algebraic polynomial equation has roots which are negative if real and have negative real parts if complex, the coefficients must satisfy certain fundamental conditions originally formulated by Routh. These conditions are here derived by comparatively simple algebra for the sextic equation by a method which can be generalized; its extension to equations of the eighth and tenth degree is indicated. The case of damped Lagrangian frequency equations is considered as an appropriate epilogue.
Citation
Morris, J. and Head, J.W. (1954), "A Note on the Escalator Process: Routh's Stability Criteria for Polynomial Characteristic Equations Derived by Algebra", Aircraft Engineering and Aerospace Technology, Vol. 26 No. 11, pp. 388-389. https://doi.org/10.1108/eb032492
Publisher
:MCB UP Ltd
Copyright © 1954, MCB UP Limited