About stability of the motions of system with infinite delay.
S. V. Pavlikov1
Annotation | We study the stability of functional differential equations with infinite delay, using the Lyapunov functional of constant sign. Limit equations are constructed in a special phase space. Sufficient stability conditions of stationary movements mechanical systems of eredital are received. |
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Keywords | The is functional-differential equations with infinite delay, Lyapunov functional with a constant-sign derivative, the limiting equations. |
1Professor of chair of information safety and the controlle theory, Ulyanovsk State University, Ulyanovsk; spavlikov@mail.ru.
Citation: S. V. Pavlikov, "[About stability of the motions of system with infinite delay.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 86–94 (In Russian)