Lyapunov vector-functions in the problem of stabilization of motion controlled systems.
A. S. Andreev1, O. A. Peregudova2
Annotation | In the work we obtain sufficient conditions for the stabilization of systems differential equations with discontinuous right-hand side. The proof is based on the construction of the Lyapunov vector functions and comparison systems and application of method of limiting equations. |
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Keywords | systems of differential equations with discontinuous right side, stabilization, Lyapunov vector-functions. |
1Head of Information Security and Control Theory Chair, Ulyanovsk State University, Ulyanovsk; AndreevAS@ulsu.ru.
2Professor of Information Security and Control Theory Chair, Ulyanovsk State University, Ulyanovsk; peregudovaoa@sv.ulsu.ru.
Citation: A. S. Andreev, O. A. Peregudova, "[Lyapunov vector-functions in the problem of stabilization of motion controlled systems.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 32–44 (In Russian)