Drazin inverse conditions for positivity and stability of switched descriptor systems

Xiuyong Ding, Guisheng Zhai, Xiu Liu

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2447-2454
ページ数8
ジャーナルIET Control Theory and Applications
13
15
DOI
出版ステータスPublished - 2019 10 15

ASJC Scopus subject areas

  • 制御およびシステム工学
  • 人間とコンピュータの相互作用
  • コンピュータ サイエンスの応用
  • 制御と最適化
  • 電子工学および電気工学

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