Title | Stability of some stationary nonlinear large-scale systems |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Mullajonov, RV, Abdugapparova, SN, Mirzaakhmedova, ZV |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2017.11.010 |
Issue | 11 |
Section | Mathematics |
Pagination | 10-15 |
Date Published | 11/2017 |
Language | Russian |
Abstract | 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. |
Keywords | instability, perturbation by a scalar function, stability, system of linear equations |
References:
- 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).