Robust stability of discrete singular systems with delayed state

Yau Tarng Juang, Chih Peng Huang, Hui Ling Lin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, the stability of linear discrete-time singular systems with delay state and parameter uncertainties is investigated. When the nominal discrete singular delay system is regular, causal and stable, sufficient conditions are derived to ensure the considered system with perturbed parameters remains regular, causal, and stable. The criteria are formulated in the complex linear matrix inequality (LMI), and the projection method is involved for numerical verification. A numerical example is given to demonstrate the validity of the proposed method.

Keywords

  • Delay system
  • LMI
  • Robust stability
  • Singular systems

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