5. Nonlinear systems with autonomous linear parts

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Denote Ω(r) = {h ∈ Cn : ‖h‖ ≤ r} and consider the equation x = Ax + F(x, t) (t ≥ 0, x = x(t)), (1.1) where A is a constant Hurwitz n × n-matrix and F maps Ω(r) × [0, ∞) into Cn with the property ‖F (h, t) ‖ ≤ v‖h‖ for all h ∈ Ω(r) and t ≥ 0. (1.2)

Original languageEnglish
Title of host publicationExplicit Stability Conditions for Continuous Systems
Subtitle of host publicationA Functional Analytic Approach
PublisherSpringer Verlag
Number of pages14
ISBN (Print)3540239847, 9783540239840
StatePublished - 4 Aug 2005

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643

ASJC Scopus subject areas

  • Library and Information Sciences

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