Stability analysis of sampled-data systems using sum of squares

Alexandre Seuret, Matthew Peet

Research output: Contribution to journalArticle

40 Scopus citations

Abstract

This technical brief proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.

Original languageEnglish (US)
Article number6376101
Pages (from-to)1620-1625
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume58
Issue number6
DOIs
StatePublished - 2013

Keywords

  • Lyapunov function
  • sampled-data systems
  • sum of squares

ASJC Scopus subject areas

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

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