11. Input-to-state stability

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Let us consider a system described by the following equation in a Euclidean space C n: x(t) = Φ(x(t), u(t), t) (t ≥ 0), (1.1) where x : R+ → Cn is the state, u : R+ → Cm is the input and Φ maps Cn × Cm × R+ into Cn with the property Φ (0,0,t) ≡ 0. Here R+ = [0,∞).

Original languageEnglish
Title of host publicationExplicit Stability Conditions for Continuous Systems
Subtitle of host publicationA Functional Analytic Approach
PublisherSpringer Verlag
Number of pages8
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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