Faculty of Physics
M.V. Lomonosov Moscow State University
Regular Article

The study of stability of linear and linearized systems by formulae of variable parameter of analytical root locus method

G.A. Bendrikov, V.I. Miftakhоv

Moscow University Physics Bulletin 1981. 36. N 2. P. 44

  • Article

The paper examines a graphical method for determining domains of stability with respect to a free parameter of systems described by the characteristic equations φ$_{n}$(p)+ ψK$_{m}$(p)=0. Unlike frequency methods, it employs simpler graphs on the real plane (ω $^{2}$, K). The method is advantageous for investigating the stability of higher-order and multicontour systems. Features of the application of the method to certain particular cases are examined. The results are illustrated by numerical examples. In the case of higher-order systems it is advantageous to perform the calculations by computer.

G.A. Bendrikov, V.I. Miftakhоv
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 2, 1981

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