Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales

Bacem Ben Nasser, Michael Defoort, Mohamed Djemai, Taous Meriem Laleg-Kirati

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results.

Original languageEnglish (US)
Pages (from-to)121-126
Number of pages6
Journal6th IFAC Conference on Analysis and Design of Hybrid Systems ADHS 2018: Oxford, United Kingdom, 11—13 July 2018
Volume51
Issue number16
DOIs
StatePublished - Jan 1 2018

Keywords

  • Dynamic equations on time scales
  • Lyapunov-Razumikhin techniques
  • Non-uniform time domains
  • Practical stability

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this