Title | On the stability of singular homogeneous systems |
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Authors | A. A. Kosov^{1}, M. V. Kozlov^{2}^{1}Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of
Russian Academy of Sciences ^{2}National Research Ogarev Mordovia State University |

Annotation | We consider singularly perturbed systems of ordinary differential equations whose right-hand side contains homogeneous first-order functions. The research results are sufficient conditions under which the properties of asymptotic stability and instability of the zero solution of the original system is a consequence of the analogous property of the zero solution of the systems of fast and slow motions obtained as a result of decomposition of the initial system. |

Keywords | singular systems, homogeneous functions, stability, decomposition |

Citation | Kosov A. A., Kozlov M. V. ''On the stability of singular homogeneous systems'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 360-363. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper50.pdf. - Date of access: 24.08.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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