Methods for determination and approximation of the domain of attraction

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dc.creatorKaslik, E.
dc.creatorBalint, A. M.
dc.creatorBalint, St.
dc.date2004-09-21
dc.date.accessioned2026-07-07T05:12:25Z
dc.date.available2026-07-07T05:12:25Z
dc.descriptionIn this paper, an $\mathbb{R}$-analytical function and the sequence of its Taylor polynomials (which are Lyapunov functions different from those of Vanelli & Vidyasagar (1985, Automatica, 21(1):6 9--80)) is presented, in order to determine and approximate the domain of attraction of the exponentially asymptotically stable zero steady state of an autonomous, $\mathbb{R}$-analytical system of differential equations. The analytical function and the sequence of its Taylor polynomials are constructed by recurrence formulae using the coefficients of the power series expansion of $f$ at 0.
dc.description17 pages, 2 figures accepted to be published in Nonlinear Analysis: Theory, Methods and Applications, Elsevier Science Publishers
dc.identifierhttps://arxiv.org/abs/math/0409390
dc.identifierhttp://arxiv.org/abs/math/0409390
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72565
dc.subjectDynamical Systems
dc.subjectGeneral Mathematics
dc.titleMethods for determination and approximation of the domain of attraction
dc.typetext

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