Stability of some stationary nonlinear large-scale systems
DOI:
https://doi.org/10.15407/dopovidi2017.11.010Keywords:
instability, perturbation by a scalar function, stability, system of linear equationsAbstract
For a system of linear equations and the corresponding nonlinear system parametrically per turbed by a scalar function, the conditions of the single-type property of the zero solution are established.
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Martynytuk, A. A. & Miladzhanov, V. G. (2014). Stability Analysis of Nonlinear Systems under Structural Perturbations. Cambridge: Cambridge Sci. Publ.
Miladzhanov, V. G. & Mullajonov, R. V. (2005). Analysis of the stability of a dynamical system on the basis of Liapunov matrix-valued functions. Osh. Conference. p. 56 (in Russian).
Miladzhanov, V. G. & Mullajonov, R. V. (2009). On one method of analyzing the stability of linear large-scale systems. Problems Mechanics. No. 2-3, pp. 112-120 (in Russian).
Martynytuk, A. A. & Mullajonov, R. V. (2012). On the theory of stability of stationary linear large-scale systems. Appl. Mechanics. 48, No. 1, pp. 121-132 (in Russian).
Martynytuk, A. A. & Mullajonov, R. V. (2010). On a method for investigating the stability of nonlinear largescale systems. Appl. Mechanics. 46, No. 5, pp. 125-134 (in Russian).
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