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A method for approximate estimation of oscillatory stability of linear systems. (English. Russian original) Zbl 0707.93054

Sov. J. Comput. Syst. Sci. 27, No. 4, 152-154 (1989); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1988, No. 6, 192-194 (1988).
Summary: Formulas for the approximate determination of complex-conjugate roots of an n-th-degree equation are given. A procedure for estimating the oscillatory stability of a system is proposed.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
34D20 Stability of solutions to ordinary differential equations
93C05 Linear systems in control theory
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