Higher Order Derivatives of Liapunov Functions

Arthur R. Butz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

The problem considered is that of inferring asymptotic stability by examining higher order derivatives of a Liapunov function when examination of only the first derivative does not permit such an interence. It is shown that a seemingly plausible approach using only V and V is vacuous. It is also shown that it is possible to inferasymptotic stability by examining V and V, and perhaps V.

Original languageEnglish (US)
Pages (from-to)111-112
Number of pages2
JournalIEEE Transactions on Automatic Control
Volume14
Issue number1
DOIs
StatePublished - 1969

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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