Title :
A group of invariant transformations in the stability problem via Lyapunov´s first method
Author :
Ermolin, Vladislav S. ; Vlasova, Tatyana V.
Author_Institution :
St. Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
A group of invariant transformations the same as Lyapunov transformations is described. They don´t change properties of correctness of differential equation systems and their characteristic numbers. It is shown that the Lyapunov transformations are a part of this group. Examples of invariant transformations different from the Lyapunov transformations are given.
Keywords :
Lyapunov methods; differential equations; invariance; stability; Lyapunov first method; Lyapunov transformation; characteristic number; differential equation system; invariant transformation; stability problem; Companies; Differential equations; Educational institutions; Electronic mail; Equations; Publishing;
Conference_Titel :
Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5315-8
DOI :
10.1109/ICCTPEA.2014.6893269
