On an application of dynamical system theory to determine all the zeros of a vector function

Zufiria Zatarain, Pedro Jose and Guttalu, Ramesh S. (1990). On an application of dynamical system theory to determine all the zeros of a vector function. "Journal of Mathematical Analysis and Applications", v. 152 (n. 1); pp. 269-295. ISSN 0022-247X. https://doi.org/10.1016/0022-247X(90)90103-M.

Description

Title: On an application of dynamical system theory to determine all the zeros of a vector function
Author/s:
  • Zufiria Zatarain, Pedro Jose
  • Guttalu, Ramesh S.
Item Type: Article
Título de Revista/Publicación: Journal of Mathematical Analysis and Applications
Date: October 1990
ISSN: 0022-247X
Volume: 152
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A continuous-time dynamical system is constructed and analyzed in this paper to help locate all the zeros of nonlinear vector functions. Lyapunov stability technique is used to show that the zeros of the vector function become asymptotically stable equilibria for this dynamical system. A strict Lyapunov function is constructed to indicate local stability and to estimate the domains of attraction of all equilibria. Manifolds on which the Jacobian of the vector field is singular play a significant role in characterizing the global behavior of the system. Examples are provided to illustrate the extent of the theory. New computational techniques to determine all the zeros of a vector function can be developed based on the dynamical aspects of the theory given in this paper

More information

Item ID: 53497
DC Identifier: http://oa.upm.es/53497/
OAI Identifier: oai:oa.upm.es:53497
DOI: 10.1016/0022-247X(90)90103-M
Official URL: https://www.sciencedirect.com/science/article/pii/0022247X9090103M
Deposited by: Memoria Investigacion
Deposited on: 26 Mar 2019 18:02
Last Modified: 07 Apr 2019 11:25
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