On uniform partial asymptotic stability of retarded functional differential systems / Vorotnikov V.I. // Applied Mathematical Sciences. - 2015. - V. 9, l. 81-84. - P. 4149-4154.

ISSN:
1312885X
Type:
Article
Abstract:
For nonlinear retarded functional differential systems the problem of asymptotic stability with respect to a part of the variables of a "partial" equilibrium position is considered. The condition of uniform asymptotic stability of this type is obtained in the context of the method of Lyapunov-Krasovskii functionals. © 2015 V. I. Vorotnikov.
Author keywords:
Lyapunov-krasovskii functionals; Nonlinear retarded functional differential systems; Partial uniform asymptotic stability
Index keywords:
нет данных
DOI:
10.12988/ams.2015.55375
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84936868066&doi=10.12988%2fams.2015.55375&partnerID=40&md5=60865b5a1e937787314d4e2e69a1dab6
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84936868066&doi=10.12988%2fams.2015.55375&partnerID=40&md5=60865b5a1e937787314d4e2e69a1dab6
Affiliations Ural Federal University, ul. Mira, 19, Ekaterinburg, Russian Federation
Author Keywords Lyapunov-krasovskii functionals; Nonlinear retarded functional differential systems; Partial uniform asymptotic stability
References 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., (1998) Partial Stability and Control, , Birkhauser, Boston; Vorotnikov, V.I., Martyshenko, Y.G., On the partial stability of nonlinear dynamical systems (2010) J. Comput. Syst. Sci. Int., 49, pp. 702-709. , http://dx.doi.org/10.1134/S1064230710050047; 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/s0001434614091223; Vorotnikov, V.I., On partial stability of retarded functional differential systems (2015) Applied Mathematical Sciences, 9, pp. 279-284. , http://dx.doi.org/10.12988/ams.2015.411905; Burton, T.A., Stability and Periodic Solutions of Ordinary and Functional Differential Equations (1985), Academic Press, Orlando; Krasovskii, N.N., (1963) On Stability of Motion, , Stanford University Press, Stanford; 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
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