Lyapunov function candidates for semi-state systems

Vladimir B. Baji Ć*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

This paper deals with the preliminary selection of Lyapunov function candidates (LFC) for semi-state systems (SSS). The problems that appear in the process of the evaluation of the total time derivative of an LFC along the motions of SSS are discussed. As a result some convenient classes of the LFC are determined. Some concrete hints on the methodology of the construction of LFC are given. Also, the well-known formula of Yoshizawa (1966) for the calculation of the upper right-hand Dini derivative of non-differentiable LFC is extended and generalized to cover the problems of SSS. The results are illustrated through the analysis of general linear RLCMT unforced electrical networks and a non-linear feedback system.

Original languageEnglish (US)
Pages (from-to)2171-2181
Number of pages11
JournalInternational Journal of Control
Volume46
Issue number6
DOIs
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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