Drazin inverse conditions for positivity and stability of switched descriptor systems

Xiuyong Ding, Guisheng Zhai, Xiu Liu

Research output: Contribution to journalArticle

Abstract

This study provides an alternative approach to stability analysis of positive switched descriptor systems (SDSs). First, by introducing a Drazin-inverse-based projector which takes a simpler form than the traditional matrix-decomposition-based ones, the state consistency of SDSs is guaranteed. Then, regarding the fact that SDSs may not be positive even if all individual subsystems are positive, two different definitions of positivity are introduced and a complete characterisation is provided. The stability issue is also addressed and two checkable approaches are proposed, which are formulated as a set of linear matrix inequality problems and linear programming problems, respectively.

Original languageEnglish
Pages (from-to)2447-2454
Number of pages8
JournalIET Control Theory and Applications
Volume13
Issue number15
DOIs
Publication statusPublished - 2019 Oct 15

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Linear matrix inequalities
Linear programming
Decomposition

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

Drazin inverse conditions for positivity and stability of switched descriptor systems. / Ding, Xiuyong; Zhai, Guisheng; Liu, Xiu.

In: IET Control Theory and Applications, Vol. 13, No. 15, 15.10.2019, p. 2447-2454.

Research output: Contribution to journalArticle

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