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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 11, Pages 51–63 (Mi ivm8845)  
Connectivity estimations of errors of linearization of essentially nonlinear systems

A. V. Shchennikova, V. N. Shchennikovb

a Chair of Mathematics and Theoretical Mechanics, Ogarev Mordovia State University, 68 Bolshevistskaya str., Saransk, 430005 Russia
b Chair of Differential Equations, Ogarev Mordovia State University, 68 Bolshevistskaya str., Saransk, 430005 Russia
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Abstract: We consider a nonlinear dynamical system with several connectivity components. It includes subsystems which can be switched off or on in the operation process, i.e., the system undergoes structural changes. It is well-known that such systems are stable with respect to the connectivity. This property is known as the connectivity stability. In this paper we find an upper bound for the solution of the initial multiply-connected domain of a nonlinear dynamical system and obtain a connectivity estimation for its linearization error.
Keywords: asymptotic stability, Lyapunov vector function, connectivity estimation of the linearization error.
Received: 24.07.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 11, Pages 45–56
DOI: https://doi.org/10.3103/S1066369X13110042
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. V. Shchennikov, V. N. Shchennikov, “Connectivity estimations of errors of linearization of essentially nonlinear systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 11, 51–63; Russian Math. (Iz. VUZ), 57:11 (2013), 45–56
Citation in format AMSBIB
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\by A.~V.~Shchennikov, V.~N.~Shchennikov
\paper Connectivity estimations of errors of linearization of essentially nonlinear systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 11
\pages 51--63
\mathnet{http://mi.mathnet.ru/ivm8845}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 11
\pages 45--56
\crossref{https://doi.org/10.3103/S1066369X13110042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84888319162}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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