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General properties of the root loci for equations with complex coefficients

G.А. Bendrikov, V.I. Ogorodnikova, and N.А. Sukhacheva

Moscow University Physics Bulletin 1971. 71. N 6. P. 41

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Annotation

Неrе we examine the general properties of the root loci for characteristic equations of order n with complex coefficients. We get such equations in the dynamics of а two-dimensional system with identical channels and antisymmetric cross-over positive and negative feedback couplings. We consider geometrical and analytical methЪds of constructing the root loci and the plane of complex frequencies, and derive equations for the root loci and the formulas for the loci parameters. An example is given to illustrate the use of the method in research on а two-dimensional servo system for angular following.

Authors
G.А. Bendrikov, V.I. Ogorodnikova, and N.А. Sukhacheva
Department of Oscillation Physics
Issue 6, 1971

Moscow University Physics Bulletin

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