Estimation of the region of attraction by first order approximation

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Abstract

Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving a variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given
Original languageEnglish
Title of host publicationProceedings of the 39th IEEE conference on decision and control : December 12-15 2000, Sydney, Australia. Vol. 4
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages3865-3869
ISBN (Print)0-7803-6638-7
DOIs
Publication statusPublished - 2000

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