On partial stability of retarded functional differential systems / Vorotnikov V.I. // Applied Mathematical Sciences. - 2015. - V. 9, l. 5-8. - P. 279-284.

ISSN:
1312885X
Type:
Article
Abstract:
For nonlinear nonstationary retarded functional differential systems the problem of stability with respect to a part of the variables of a "partial" equilibrium position is considered. The conditions of stability of this type are obtained in the context of the method of Lyapunov-Razumikhin functions. © 2014 V. I. Vorotnikov.
Author keywords:
Partial stability; Razumikhin approach; Retarded systems
Index keywords:
нет данных
DOI:
10.12988/ams.2015.411905
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84922712749&doi=10.12988%2fams.2015.411905&partnerID=40&md5=c5004f859651d2f4400173a7cceca09b
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84922712749&doi=10.12988%2fams.2015.411905&partnerID=40&md5=c5004f859651d2f4400173a7cceca09b
Affiliations Ural Federal University, ul. Mira, 19, Ekaterinburg, Russian Federation
Author Keywords Partial stability; Razumikhin approach; Retarded systems
References Rumyantsev, V.V., On the stability of motion with respect to a part of the variables (1957) Vestnik MGU, 4, pp. 9-16. , [in Russian]; Vorotnikov, V.I., (1998) Partial Stability and Control, , Birkhauser, Boston; Vorotnikov, V.I., Partial stability and control: the state of the art and developing prospects (2005) Autom. Remote Control, 66, pp. 511-561. , http://dx.doi.org/10.1007/s10513-005-0099-9; Vorotnikov, V.I., Martyshenko, Y.G., On the partial stability of nonlinear dynamical systems (2010) J. Comput. Syst. Sci. Int., 49, pp. 702-709; Vorotnikov, V.I., Martyshenko, Y.G., Stability in a part of variables of "partial" equilibria of systems with aftereffect (2014) Mathematical Notes, 96, pp. 477-483. , http://dx.doi.org/10.1134/s0001434614090223; Burton, T.A., (1985) Stability and Periodic Solutions of Ordinary and Functional Differential Equations, , Academic Press, Orlando; Bernfeld, S.R., Corduneanu, C., Ignatyev, A.O., On the stability of invariant sets of functional differential equations (2003) Nonlinear Anal., Theory Methods Appl., 55, pp. 641-656. , http://dx.doi.org/10.1016/j.na.2003.08.002; Razumikhin, B.S., On stability on systems with delay (1956) Prikl. Mat. Mekh., 20, pp. 500-512. , [in Russian]; Andreev, A.S., (2005) Stability of Nonautonomous Functional Differential Equations, , Ulyanovsk University Press, Ulyanovsk, [in Russian]
Correspondence Address Vorotnikov, V.I.; Ural Federal University, ul. Mira, 19, Russian Federation
Publisher Hikari Ltd.
Language of Original Document English
Abbreviated Source Title Appl. Math. Sci.
Source Scopus