Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations

Surong You, Liangjian Hu, Wei Mao, Xuerong Mao

Research output: Contribution to journalArticle

9 Citations (Scopus)
39 Downloads (Pure)

Abstract

This paper deals with the problem of stabilizing a hybrid stochastic system with norm bounded uncertainties. State-feedback controls based on discrete-time observations are designed in the drift and diffusion parts of the system. The controlled system will be ro- bustly exponentially stable in mean-square. Applying linear matrix inequality techniques, criteria to determine controllers and time lags are developed. One numerical example is given to verify our techniques.
Original languageEnglish
Pages (from-to)8-16
Number of pages9
JournalStatistics and Probability Letters
Volume102
Early online date25 Mar 2015
DOIs
Publication statusPublished - Jul 2015

Keywords

  • brownian motion
  • hybrid uncertain systems
  • robust stabilization
  • feedback control
  • discrete-time observations

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