Some techniques for investigating the distribution of roots of algebraic equations
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Abstract
When solving some problems related to the quality of the control process, in a number of cases there is a need to study the distribution of roots of algebraic equations with respect to the rays coming from the origin. The present paper indicates a method of investigating the distribution of roots of equations with respect to regions formed by rays originating from the origin and symmetrically located with respect to the real axis of the plane of roots (Fig. 1 and 2).
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References
- Vorobyev Yu.V. On the study of one class of automatic regulation systems with wave processes in separate links. Automatics and Telemechanics, 1948, vol. IX, No. 4.
- Vorobyev Yu.V. Stability of linear systems with wave processes in separate links. Coll.: Studies in the Field of Regulation of Steam Turbines. Gosenergoizdat, 1950.
- Labazin V.G. Some methods of investigation of distribution of roots of transcendental equations. Bulletin of Leningrad University, 1953, No. 2.
- Feldbaum A.A. About distribution of roots of the characteristic equation of the regulation system. Automatics and Telemechanics, 1948, vol. IX, No. 4.
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