On partial stability theory of nonlinear dynamic systems / Vorotnikov V. I.,Martyshenko Yu. G. // JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. - 2010. - V. 49, l. 5. - P. 702-709.

ISSN/EISSN:

1064-2307 / нет данных

Type:

Article

Abstract:

A stability problem with respect to a part of variables of the zero equilibrium position is considered for nonlinear non-stationary systems of ordinary differential equations with the continuous right-hand side. As compared to known assumptions, more general assumptions are made on the initial values of variables non-controlled in the course of studying stability. In addition, a stability problem is considered with respect to a part of variables of the ``partial{''} equilibrium position, with similar assumptions made for initial values of variables that do not define the given equilibrium position. Conditions of stability and asymptotic stability of this type are obtained within the method of Lyapunov functions and generalize a number of existing results. The results are applied to the stability problem with respect to a part of variables of equilibrium positions of nonlinear holonomic mechanical systems. The problem of unification (to a certain extent) of the process of studying partial stability problems of stationary and non-stationary systems is discussed.

Author keywords:

нет данных

DOI:

10.1134/S1064230710050047

Web of Science ID:

ISI:000283306700003

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	OCT
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Computer Science
Web-of-Science-Categories	Computer Science, Artificial Intelligence; Computer Science, Cybernetics; Computer Science, Theory \& Methods
Funding-Acknowledgement	Russian Foundation for Basic Research {[}07-01-00483]
Funding-Text	This study was financially supported by the Russian Foundation for Basic Research (project no. 07-01-00483).
Number-of-Cited-References	27
Usage-Count-Since-2013	7
Journal-ISO	J. Comput. Syst. Sci. Int.
Doc-Delivery-Number	668XA